19:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096353:0.361430:0.110579:0.361430:0.110579:0.344529:0.096353:0.344529:0.000000:0.000000
  Transformamos de notación exponencial a notación logarítmica.:@0.110579:0.361430:0.596697:0.361430:0.596697:0.345041:0.110579:0.345041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124842:0.388717:0.139750:0.388717:0.139750:0.371817:0.124842:0.371817:0.000000:0.000000
a a:@0.136980:0.390290:0.165387:0.390709:0.165387:0.374348:0.136980:0.373929:0.000000:0.000000:0.000000
) 5) 5:@0.146821:0.390290:0.184792:0.390709:0.184792:0.374320:0.146821:0.373901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 2525:@0.136132:0.412170:0.212157:0.412588:0.212157:0.396199:0.136132:0.395781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2525:@0.188688:0.390290:0.225719:0.390709:0.225719:0.374320:0.188688:0.373901:0.000000:0.000000:0.000000:0.000000
2 2:@0.215703:0.412170:0.243834:0.412588:0.243834:0.396199:0.215703:0.395781:0.000000:0.000000:0.000000
2:@0.165144:0.382628:0.170356:0.382628:0.170356:0.373130:0.165144:0.373130:0.000000
5:@0.159596:0.414179:0.164808:0.414179:0.164808:0.404680:0.159596:0.404680:0.000000
= =:@0.175666:0.389875:0.204923:0.390294:0.204923:0.373352:0.175666:0.372933:0.000000:0.000000:0.000000
( ) ( ):@0.168076:0.413510:0.218635:0.413928:0.218635:0.392276:0.168076:0.391858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.202680:0.411760:0.231936:0.412180:0.231936:0.395238:0.202680:0.394818:0.000000:0.000000:0.000000
log:@0.155270:0.412588:0.179116:0.412588:0.179116:0.396199:0.155270:0.396199:0.000000:0.000000:0.000000
2:@0.184284:0.383048:0.189496:0.383048:0.189496:0.373550:0.184284:0.373550:0.000000
5:@0.178730:0.414596:0.183942:0.414596:0.183942:0.405098:0.178730:0.405098:0.000000
b):@0.338148:0.388711:0.354364:0.388711:0.354364:0.371810:0.338148:0.371810:0.000000:0.000000
b b:@0.349141:0.389477:0.378422:0.390860:0.378422:0.374498:0.349141:0.373115:0.000000:0.000000:0.000000
x x:@0.403318:0.389477:0.430794:0.390860:0.430794:0.374498:0.403318:0.373115:0.000000:0.000000:0.000000
x x:@0.369043:0.410222:0.396518:0.411605:0.396518:0.395244:0.369043:0.393861:0.000000:0.000000:0.000000
y y:@0.400867:0.410222:0.428361:0.411605:0.428361:0.395244:0.400867:0.393861:0.000000:0.000000:0.000000
y:@0.378196:0.381816:0.382532:0.381816:0.382532:0.372333:0.378196:0.372333:0.000000
) e) e:@0.358983:0.389477:0.397165:0.390860:0.397165:0.374471:0.358983:0.373088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln() ln():@0.348571:0.410222:0.403209:0.411605:0.403209:0.395216:0.348571:0.393833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.388891:0.389062:0.419020:0.390445:0.419020:0.373503:0.388891:0.372120:0.000000:0.000000:0.000000
= =:@0.386164:0.409807:0.416293:0.411190:0.416293:0.394248:0.386164:0.392865:0.000000:0.000000:0.000000
y:@0.398209:0.383199:0.402545:0.383199:0.402545:0.373717:0.398209:0.373717:0.000000
c):@0.551445:0.393415:0.565265:0.393415:0.565265:0.376514:0.551445:0.376514:0.000000:0.000000
c c:@0.562803:0.393954:0.590377:0.393365:0.590377:0.377004:0.562803:0.377593:0.000000:0.000000:0.000000
) 8) 8:@0.571758:0.393954:0.609874:0.393365:0.609874:0.376977:0.571758:0.377565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log log:@0.561973:0.431946:0.605719:0.431360:0.605719:0.414971:0.561973:0.415557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.590602:0.381926:0.596465:0.381926:0.596465:0.372107:0.590602:0.372107:0.000000
= =:@0.612380:0.393539:0.642405:0.392951:0.642405:0.376008:0.612380:0.376597:0.000000:0.000000:0.000000
   :@0.594423:0.424029:0.643814:0.423440:0.643814:0.406498:0.594423:0.407086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.594423:0.443792:0.643814:0.443204:0.643814:0.426261:0.594423:0.426850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.594423:0.435107:0.643814:0.434519:0.643814:0.417577:0.594423:0.418164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.627298:0.431525:0.657321:0.430937:0.657321:0.413995:0.627298:0.414582:0.000000:0.000000:0.000000
− −:@0.642372:0.422756:0.672402:0.422183:0.672402:0.405241:0.642372:0.405814:0.000000:0.000000:0.000000
1:@0.596411:0.382166:0.601623:0.382166:0.601623:0.372668:0.596411:0.372668:0.000000
3:@0.601014:0.388178:0.606226:0.388178:0.606226:0.378680:0.601014:0.378680:0.000000
8:@0.585418:0.433952:0.590630:0.433952:0.590630:0.424454:0.585418:0.424454:0.000000
1 1:@0.627613:0.385192:0.656514:0.384603:0.656514:0.368214:0.627613:0.368803:0.000000:0.000000:0.000000
2 2:@0.626876:0.404803:0.655777:0.404215:0.655777:0.387826:0.626876:0.388414:0.000000:0.000000:0.000000
1 1:@0.605665:0.423197:0.634567:0.422609:0.634567:0.406220:0.605665:0.406809:0.000000:0.000000:0.000000
2 2:@0.604928:0.442809:0.633829:0.442220:0.633829:0.425832:0.604928:0.426420:0.000000:0.000000:0.000000
1 1:@0.652416:0.423197:0.681317:0.422609:0.681317:0.406220:0.652416:0.406809:0.000000:0.000000:0.000000
3 3:@0.645819:0.442809:0.674720:0.442220:0.674720:0.425832:0.645819:0.426420:0.000000:0.000000:0.000000
−:@0.610510:0.381338:0.616373:0.381338:0.616373:0.371519:0.610510:0.371519:0.000000
1:@0.616320:0.381578:0.621532:0.381578:0.621532:0.372080:0.616320:0.372080:0.000000
3:@0.620923:0.387589:0.626134:0.387589:0.626134:0.378091:0.620923:0.378091:0.000000
8:@0.605327:0.433364:0.610539:0.433364:0.610539:0.423866:0.605327:0.423866:0.000000
3.:@0.096359:0.468092:0.110585:0.468092:0.110585:0.451191:0.096359:0.451191:0.000000:0.000000
  Escribimos el enunciado logarítmico en forma exponencial. Cuando se trata de :@0.110585:0.468092:0.716560:0.468092:0.716560:0.451703:0.110585:0.451703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmos neperianos, la base es e, y si la base del logaritmo es 10, no se escribe.:@0.124848:0.484688:0.712430:0.484688:0.712430:0.468299:0.124848:0.468299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.511975:0.139756:0.511975:0.139756:0.495075:0.124848:0.495075:0.000000:0.000000
a a:@0.135251:0.512151:0.165387:0.512091:0.165387:0.495730:0.135251:0.495790:0.000000:0.000000:0.000000
)log 81 81:@0.145092:0.512151:0.234007:0.512091:0.234007:0.495702:0.145092:0.495763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  )log :@0.150270:0.512151:0.175172:0.512091:0.175172:0.495702:0.150270:0.495763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.179488:0.514155:0.184699:0.514155:0.184699:0.504657:0.179488:0.504657:0.000000
4:@0.144042:0.528222:0.149254:0.528222:0.149254:0.518724:0.144042:0.518724:0.000000
4 4:@0.234090:0.512151:0.263952:0.512091:0.263952:0.495702:0.234090:0.495763:0.000000:0.000000:0.000000
3 3:@0.134987:0.535884:0.164848:0.535824:0.164848:0.519435:0.134987:0.519495:0.000000:0.000000:0.000000
81 81:@0.167917:0.535884:0.206679:0.535824:0.206679:0.519435:0.167917:0.519495:0.000000:0.000000:0.000000:0.000000:0.000000
() ():@0.188177:0.513487:0.238161:0.513426:0.238161:0.491774:0.188177:0.491834:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.220479:0.511737:0.251463:0.511676:0.251463:0.494734:0.220479:0.494794:0.000000:0.000000:0.000000
= =:@0.154877:0.535469:0.185860:0.535409:0.185860:0.518467:0.154877:0.518527:0.000000:0.000000:0.000000
3:@0.200354:0.514095:0.205566:0.514095:0.205566:0.504597:0.200354:0.504597:0.000000
4:@0.164909:0.528162:0.170120:0.528162:0.170120:0.518664:0.164909:0.518664:0.000000
b):@0.338148:0.511977:0.354364:0.511977:0.354364:0.495076:0.338148:0.495076:0.000000:0.000000
b b:@0.347412:0.512114:0.378422:0.513039:0.378422:0.496678:0.347412:0.495753:0.000000:0.000000:0.000000
x x:@0.418506:0.512114:0.447710:0.513039:0.447710:0.496678:0.418506:0.495753:0.000000:0.000000:0.000000
e e:@0.347670:0.534713:0.377206:0.535638:0.377206:0.519277:0.347670:0.518351:0.000000:0.000000:0.000000
x:@0.356939:0.527044:0.361264:0.527044:0.361264:0.517562:0.356939:0.517562:0.000000
)ln( ) ):@0.357254:0.512114:0.422816:0.513039:0.422816:0.496650:0.357254:0.495725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 )ln(:@0.387254:0.512114:0.408627:0.513039:0.408627:0.496650:0.387254:0.495725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.380657:0.534713:0.411391:0.535638:0.411391:0.519249:0.380657:0.518324:0.000000:0.000000:0.000000
= =:@0.404060:0.511699:0.435918:0.512624:0.435918:0.495682:0.404060:0.494757:0.000000:0.000000:0.000000
= =:@0.367629:0.534298:0.399487:0.535223:0.399487:0.518281:0.367629:0.517355:0.000000:0.000000:0.000000
x:@0.378680:0.527969:0.383006:0.527969:0.383006:0.518487:0.378680:0.518487:0.000000
2:@0.408996:0.513039:0.417988:0.513039:0.417988:0.496650:0.408996:0.496650:0.000000
c):@0.551445:0.511977:0.565265:0.511977:0.565265:0.495076:0.551445:0.495076:0.000000:0.000000
c c:@0.562608:0.511920:0.590377:0.511952:0.590377:0.495590:0.562608:0.495559:0.000000:0.000000:0.000000
)log ,001 ,001:@0.571564:0.511920:0.675310:0.511952:0.675310:0.495563:0.571564:0.495531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 0 001 ,0 001:@0.618310:0.535652:0.670058:0.535684:0.670058:0.519295:0.618310:0.519263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.614330:0.511919:0.623322:0.511919:0.623322:0.495530:0.614330:0.495530:0.000000
3 3:@0.686202:0.511920:0.715298:0.511952:0.715298:0.495563:0.686202:0.495531:0.000000:0.000000:0.000000
1010:@0.561194:0.535652:0.599185:0.535684:0.599185:0.519295:0.561194:0.519263:0.000000:0.000000:0.000000:0.000000
3:@0.585537:0.527989:0.590749:0.527989:0.590749:0.518491:0.585537:0.518491:0.000000
( (:@0.607264:0.513254:0.633503:0.513287:0.633503:0.491634:0.607264:0.491602:0.000000:0.000000:0.000000
) ):@0.653222:0.513254:0.679461:0.513287:0.679461:0.491634:0.653222:0.491602:0.000000:0.000000:0.000000
=− =−:@0.662546:0.511505:0.706384:0.511537:0.706384:0.494595:0.662546:0.494563:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.596060:0.535238:0.626279:0.535269:0.626279:0.518327:0.596060:0.518296:0.000000:0.000000:0.000000
−:@0.579728:0.527749:0.585591:0.527749:0.585591:0.517930:0.579728:0.517930:0.000000
)log:@0.591667:0.511952:0.626440:0.511952:0.626440:0.495563:0.591667:0.495563:0.000000:0.000000:0.000000:0.000000
0:@0.634438:0.511952:0.643430:0.511952:0.643430:0.495563:0.634438:0.495563:0.000000
3:@0.605640:0.528022:0.610852:0.528022:0.610852:0.518524:0.605640:0.518524:0.000000
−:@0.599830:0.527782:0.605694:0.527782:0.605694:0.517963:0.599830:0.517963:0.000000
4.:@0.096359:0.574693:0.110585:0.574693:0.110585:0.557793:0.096359:0.557793:0.000000:0.000000
  Aplicamos las propiedades de los logaritmos paso a paso:  log:@0.110585:0.574693:0.576082:0.576682:0.576082:0.560294:0.110585:0.558305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.575690:0.578686:0.580902:0.578686:0.580902:0.569188:0.575690:0.569188:0.000000
2:@0.617202:0.579865:0.622414:0.579865:0.622414:0.570366:0.617202:0.570366:0.000000
3:@0.647725:0.555386:0.652936:0.555386:0.652936:0.545888:0.647725:0.545888:0.000000
3:@0.594904:0.567922:0.603896:0.567922:0.603896:0.551533:0.594904:0.551533:0.000000
ax:@0.603546:0.567922:0.634210:0.567922:0.634210:0.551560:0.603546:0.551560:0.000000:0.000000
b:@0.607582:0.587533:0.616851:0.587533:0.616851:0.571172:0.607582:0.571172:0.000000
:@0.584381:0.565778:0.591458:0.565778:0.591458:0.548836:0.584381:0.548836:0.000000
:@0.584381:0.591516:0.591458:0.591516:0.591458:0.574574:0.584381:0.574574:0.000000
:@0.584381:0.578308:0.591458:0.578308:0.591458:0.561366:0.584381:0.561366:0.000000
:@0.584381:0.582831:0.591458:0.582831:0.591458:0.565889:0.584381:0.565889:0.000000
:@0.640401:0.565778:0.647478:0.565778:0.647478:0.548836:0.640401:0.548836:0.000000
:@0.640401:0.591516:0.647478:0.591516:0.647478:0.574574:0.640401:0.574574:0.000000
:@0.640401:0.578308:0.647478:0.578308:0.647478:0.561366:0.640401:0.561366:0.000000
:@0.640401:0.582831:0.647478:0.582831:0.647478:0.565889:0.640401:0.565889:0.000000
5.:@0.096362:0.753718:0.110588:0.753718:0.110588:0.736817:0.096362:0.736817:0.000000:0.000000
  Expresamos como un solo logaritmo, paso a paso:   2ln():@0.110588:0.753718:0.531280:0.753257:0.531280:0.736868:0.110588:0.737329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.548235:0.744488:0.557227:0.744488:0.557227:0.728099:0.548235:0.728099:0.000000
3:@0.547493:0.764101:0.556485:0.764101:0.556485:0.747712:0.547493:0.747712:0.000000
4ln:@0.634659:0.753257:0.658615:0.753257:0.658615:0.736868:0.634659:0.736868:0.000000:0.000000:0.000000
ln(:@0.558424:0.753257:0.577128:0.753257:0.577128:0.736868:0.558424:0.736868:0.000000:0.000000:0.000000
):@0.614130:0.753257:0.619014:0.753257:0.619014:0.736868:0.614130:0.736868:0.000000
x:@0.517127:0.753257:0.524590:0.753257:0.524590:0.736895:0.517127:0.736895:0.000000
x:@0.578897:0.753257:0.586360:0.753257:0.586360:0.736895:0.578897:0.736895:0.000000
y:@0.604870:0.753257:0.612351:0.753257:0.612351:0.736895:0.604870:0.736895:0.000000
x y:@0.667855:0.753257:0.700983:0.753257:0.700983:0.736895:0.667855:0.736895:0.000000:0.000000:0.000000
−:@0.533623:0.752842:0.543740:0.752842:0.543740:0.735900:0.533623:0.735900:0.000000
+:@0.590473:0.752842:0.600589:0.752842:0.600589:0.735900:0.590473:0.735900:0.000000
+:@0.621361:0.752842:0.631477:0.752842:0.631477:0.735900:0.621361:0.735900:0.000000
−:@0.679426:0.752842:0.689543:0.752842:0.689543:0.735900:0.679426:0.735900:0.000000
(:@0.659368:0.754592:0.665505:0.754592:0.665505:0.732939:0.659368:0.732939:0.000000
):@0.703392:0.754592:0.709529:0.754592:0.709529:0.732939:0.703392:0.732939:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresemos a nuestro problema inicial y respondamos las preguntas: :@0.110585:0.144572:0.635791:0.144572:0.635791:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.171552:0.157756:0.171552:0.157756:0.155974:0.102121:0.155974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos los datos del :@0.157756:0.171552:0.328560:0.171552:0.328560:0.156653:0.157756:0.156653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema: pH del lago = 6,5:@0.102121:0.186640:0.287570:0.186640:0.287570:0.171741:0.102121:0.171741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.403597:0.171552:0.455848:0.171552:0.455848:0.155974:0.403597:0.155974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para despejar H , cambiamos de :@0.459232:0.171552:0.677190:0.171552:0.677190:0.156653:0.459232:0.156653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.562176:0.166055:0.567997:0.166055:0.567997:0.157369:0.562176:0.157369:0.000000
notación logarítmica a notación exponencial.:@0.403606:0.186640:0.704593:0.186640:0.704593:0.171741:0.403606:0.171741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.499810:0.210235:0.508915:0.210235:0.508915:0.194987:0.499810:0.194987:0.000000
=:@0.531985:0.210235:0.541090:0.210235:0.541090:0.194987:0.531985:0.194987:0.000000
:@0.577179:0.209699:0.583547:0.209699:0.583547:0.194451:0.577179:0.194451:0.000000
:@0.577179:0.215039:0.583547:0.215039:0.583547:0.199791:0.577179:0.199791:0.000000
:@0.603234:0.209699:0.609602:0.209699:0.609602:0.194451:0.603234:0.194451:0.000000
:@0.603234:0.215039:0.609602:0.215039:0.609602:0.199791:0.603234:0.199791:0.000000
=:@0.536844:0.233212:0.545949:0.233212:0.545949:0.217964:0.536844:0.217964:0.000000
≈:@0.521056:0.253551:0.530161:0.253551:0.530161:0.238303:0.521056:0.238303:0.000000
×:@0.561523:0.253551:0.570628:0.253551:0.570628:0.238303:0.561523:0.238303:0.000000
+:@0.595033:0.203496:0.600309:0.203496:0.600309:0.194659:0.595033:0.194659:0.000000
−:@0.514938:0.226479:0.520215:0.226479:0.520215:0.217642:0.514938:0.217642:0.000000
+:@0.559844:0.226479:0.565121:0.226479:0.565121:0.217642:0.559844:0.217642:0.000000
+:@0.510554:0.246815:0.515830:0.246815:0.515830:0.237978:0.510554:0.237978:0.000000
−:@0.587822:0.246815:0.593099:0.246815:0.593099:0.237978:0.587822:0.237978:0.000000
65 log:@0.508857:0.210608:0.564665:0.210608:0.564665:0.195858:0.508857:0.195858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.498256:0.233593:0.514360:0.233593:0.514360:0.218843:0.498256:0.218843:0.000000:0.000000
31610:@0.532792:0.253926:0.587241:0.253926:0.587241:0.239176:0.532792:0.239176:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.563701:0.212411:0.573005:0.212411:0.573005:0.203863:0.563701:0.203863:0.000000:0.000000
65 ,:@0.520169:0.226695:0.527208:0.226698:0.527208:0.218150:0.520169:0.218146:0.000000:0.000000:0.000000:0.000000
7:@0.593055:0.247030:0.597745:0.247030:0.597745:0.238482:0.593055:0.238482:0.000000
,:@0.517149:0.210608:0.520035:0.210608:0.520035:0.195858:0.517149:0.195858:0.000000
;:@0.567418:0.233598:0.570304:0.233598:0.570304:0.218848:0.567418:0.218848:0.000000
,:@0.540567:0.253937:0.543453:0.253937:0.543453:0.239187:0.540567:0.239187:0.000000
H:@0.583772:0.210608:0.593772:0.210608:0.593772:0.195883:0.583772:0.195883:0.000000
H:@0.548579:0.233598:0.558579:0.233598:0.558579:0.218873:0.548579:0.218873:0.000000
H:@0.499288:0.253937:0.509289:0.253937:0.509289:0.239212:0.499288:0.239212:0.000000
Paso 2.:@0.102121:0.207193:0.154372:0.207193:0.154372:0.191615:0.102121:0.191615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Qué pregunta el problema?:@0.154372:0.207193:0.348814:0.207193:0.348814:0.192294:0.154372:0.192294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuál es la concentración de iones del :@0.102121:0.229410:0.353139:0.229410:0.353139:0.214511:0.102121:0.214511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hidrógeno [H ].:@0.102121:0.244497:0.204352:0.244496:0.204352:0.229597:0.102121:0.229598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.191176:0.238998:0.196997:0.238998:0.196997:0.230312:0.191176:0.230312:0.000000
Paso 3.:@0.102128:0.284692:0.154379:0.284692:0.154379:0.269114:0.102128:0.269114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En la ecuación de pH, :@0.154379:0.284692:0.305251:0.284692:0.305251:0.269793:0.154379:0.269793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reemplazamos los datos.:@0.102128:0.299780:0.266232:0.299780:0.266232:0.284881:0.102128:0.284881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pH:@0.129797:0.324105:0.148090:0.324105:0.148090:0.309379:0.129797:0.309379:0.000000:0.000000
H:@0.214793:0.324105:0.224794:0.324105:0.224794:0.309379:0.214793:0.309379:0.000000
H:@0.338384:0.324105:0.348385:0.324105:0.348385:0.309379:0.338384:0.309379:0.000000
=−:@0.151893:0.323731:0.173254:0.323731:0.173254:0.308483:0.151893:0.308483:0.000000:0.000000
:@0.208199:0.323196:0.214567:0.323196:0.214567:0.307948:0.208199:0.307948:0.000000
:@0.208199:0.328536:0.214567:0.328536:0.214567:0.313288:0.208199:0.313288:0.000000
:@0.234254:0.323196:0.240622:0.323196:0.240622:0.307948:0.234254:0.307948:0.000000
:@0.234254:0.328536:0.240622:0.328536:0.240622:0.313288:0.234254:0.313288:0.000000
=−:@0.275484:0.323731:0.296845:0.323731:0.296845:0.308483:0.275484:0.308483:0.000000:0.000000
:@0.331789:0.323196:0.338158:0.323196:0.338158:0.307948:0.331789:0.307948:0.000000
:@0.331789:0.328536:0.338158:0.328536:0.338158:0.313288:0.331789:0.313288:0.000000
:@0.357844:0.323196:0.364213:0.323196:0.364213:0.307948:0.357844:0.307948:0.000000
:@0.357844:0.328536:0.364213:0.328536:0.364213:0.313288:0.357844:0.313288:0.000000
+:@0.226054:0.316992:0.231331:0.316992:0.231331:0.308155:0.226054:0.308155:0.000000
+:@0.349641:0.316992:0.354918:0.316992:0.354918:0.308155:0.349641:0.308155:0.000000
log:@0.174227:0.324105:0.195688:0.324105:0.195688:0.309355:0.174227:0.309355:0.000000:0.000000:0.000000
; ,65:@0.242789:0.324105:0.273110:0.324105:0.273110:0.309355:0.242789:0.309355:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.297818:0.324105:0.319262:0.324105:0.319262:0.309355:0.297818:0.309355:0.000000:0.000000:0.000000
10:@0.194722:0.325908:0.204026:0.325908:0.204026:0.317360:0.194722:0.317360:0.000000:0.000000
10:@0.318309:0.325908:0.327614:0.325908:0.327614:0.317360:0.318309:0.317360:0.000000:0.000000
 :@0.247917:0.324105:0.251549:0.324105:0.251549:0.309355:0.247917:0.309355:0.000000
Paso 5.:@0.403601:0.284694:0.455852:0.284694:0.455852:0.269116:0.403601:0.269116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Respondemos::@0.455852:0.284694:0.558611:0.284694:0.558611:0.269795:0.455852:0.269795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La concentración de iones en el agua es de :@0.403601:0.306911:0.694875:0.306911:0.694875:0.292012:0.403601:0.292012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H:@0.405863:0.322038:0.415864:0.322038:0.415864:0.307312:0.405863:0.307312:0.000000
+:@0.417124:0.314926:0.422401:0.314926:0.422401:0.306090:0.417124:0.306090:0.000000
−:@0.494392:0.314926:0.499669:0.314926:0.499669:0.306090:0.494392:0.306090:0.000000
≈:@0.427631:0.321664:0.436736:0.321664:0.436736:0.306416:0.427631:0.306416:0.000000
×:@0.468098:0.321664:0.477203:0.321664:0.477203:0.306416:0.468098:0.306416:0.000000
31610:@0.439356:0.322038:0.493805:0.322038:0.493805:0.307288:0.439356:0.307288:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.499624:0.315143:0.504315:0.315143:0.504315:0.306595:0.499624:0.306595:0.000000
,:@0.447136:0.322038:0.450021:0.322038:0.450021:0.307288:0.447136:0.307288:0.000000
 mol/L.:@0.507634:0.321999:0.553787:0.321999:0.553787:0.307100:0.507634:0.307100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.613461:0.157756:0.613461:0.157756:0.597883:0.102121:0.597883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la propiedad de :@0.157756:0.613461:0.340506:0.613461:0.340506:0.598562:0.157756:0.598562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo de potencia. :@0.102121:0.628549:0.257749:0.628549:0.257749:0.613650:0.102121:0.613650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3log:@0.507585:0.626106:0.537573:0.626106:0.537573:0.611356:0.507585:0.611356:0.000000:0.000000:0.000000:0.000000
3:@0.554520:0.618214:0.562614:0.618214:0.562614:0.603464:0.554520:0.603464:0.000000
2:@0.537220:0.627909:0.541911:0.627909:0.541911:0.619361:0.537220:0.619361:0.000000
2:@0.574581:0.628970:0.579271:0.628970:0.579271:0.620421:0.574581:0.620421:0.000000
ax:@0.562284:0.618214:0.589882:0.618214:0.589882:0.603489:0.562284:0.603489:0.000000:0.000000
b:@0.565916:0.635864:0.574259:0.635864:0.574259:0.621139:0.565916:0.621139:0.000000
:@0.545042:0.616290:0.551410:0.616290:0.551410:0.601042:0.545042:0.601042:0.000000
:@0.545042:0.639454:0.551410:0.639454:0.551410:0.624206:0.545042:0.624206:0.000000
:@0.545042:0.627570:0.551410:0.627570:0.551410:0.612323:0.545042:0.612323:0.000000
:@0.545042:0.631641:0.551410:0.631641:0.551410:0.616393:0.545042:0.616393:0.000000
:@0.595456:0.616290:0.601825:0.616290:0.601825:0.601042:0.595456:0.601042:0.000000
:@0.595456:0.639454:0.601825:0.639454:0.601825:0.624206:0.595456:0.624206:0.000000
:@0.595456:0.627570:0.601825:0.627570:0.601825:0.612323:0.595456:0.612323:0.000000
:@0.595456:0.631641:0.601825:0.631641:0.601825:0.616393:0.595456:0.616393:0.000000
Paso 2.:@0.102121:0.659437:0.154372:0.659437:0.154372:0.643859:0.102121:0.643859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos la propiedad de :@0.154372:0.659437:0.340791:0.659437:0.340791:0.644538:0.154372:0.644538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo del producto y el cociente.:@0.102121:0.674524:0.348830:0.674524:0.348830:0.659625:0.102121:0.659625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3log:@0.405863:0.664062:0.435851:0.664062:0.435851:0.649312:0.405863:0.649312:0.000000:0.000000:0.000000:0.000000
3:@0.449680:0.664062:0.457773:0.664062:0.457773:0.649312:0.449680:0.649312:0.000000
3log:@0.477576:0.664062:0.507564:0.664062:0.507564:0.649312:0.477576:0.649312:0.000000:0.000000:0.000000:0.000000
3log:@0.550317:0.664062:0.580310:0.664062:0.580310:0.649312:0.550317:0.649312:0.000000:0.000000:0.000000:0.000000
3log:@0.635845:0.664062:0.665821:0.664062:0.665821:0.649312:0.635845:0.649312:0.000000:0.000000:0.000000:0.000000
2:@0.435498:0.665866:0.440188:0.665866:0.440188:0.657317:0.435498:0.657317:0.000000
2:@0.507211:0.665866:0.511901:0.665866:0.511901:0.657317:0.507211:0.657317:0.000000
2:@0.579957:0.665866:0.584648:0.665866:0.584648:0.657317:0.579957:0.657317:0.000000
2:@0.665472:0.665866:0.670163:0.665866:0.670163:0.657317:0.665472:0.657317:0.000000
2:@0.688276:0.657167:0.692967:0.657167:0.692967:0.648618:0.688276:0.648618:0.000000
():@0.443320:0.665262:0.463818:0.665262:0.463818:0.645776:0.443320:0.645776:0.000000:0.000000
+:@0.466125:0.663689:0.475230:0.663689:0.475230:0.648441:0.466125:0.648441:0.000000
():@0.515030:0.665262:0.536574:0.665262:0.536574:0.645776:0.515030:0.645776:0.000000:0.000000
+:@0.538872:0.663689:0.547977:0.663689:0.547977:0.648441:0.538872:0.648441:0.000000
( ):@0.587777:0.667869:0.622373:0.667869:0.622373:0.641155:0.587777:0.641155:0.000000:0.000000:0.000000
−:@0.624669:0.663689:0.633774:0.663689:0.633774:0.648441:0.624669:0.648441:0.000000
( ):@0.673293:0.666737:0.701189:0.666737:0.701189:0.642783:0.673293:0.642783:0.000000:0.000000:0.000000
a:@0.521627:0.664062:0.529969:0.664062:0.529969:0.649337:0.521627:0.649337:0.000000
x:@0.606624:0.664062:0.613341:0.664062:0.613341:0.649337:0.606624:0.649337:0.000000
b:@0.679614:0.664062:0.687957:0.664062:0.687957:0.649337:0.679614:0.649337:0.000000
Paso 3.:@0.102121:0.692508:0.154372:0.692508:0.154372:0.676930:0.102121:0.676930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos la propiedad de :@0.154372:0.692508:0.340791:0.692508:0.340791:0.677609:0.154372:0.677609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo de potencia.:@0.102121:0.707595:0.254081:0.707595:0.254081:0.692696:0.102121:0.692696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3log:@0.414861:0.702154:0.444848:0.702154:0.444848:0.687404:0.414861:0.687404:0.000000:0.000000:0.000000:0.000000
3:@0.458678:0.702154:0.466771:0.702154:0.466771:0.687404:0.458678:0.687404:0.000000
3log:@0.486574:0.702154:0.516561:0.702154:0.516561:0.687404:0.486574:0.687404:0.000000:0.000000:0.000000:0.000000
3:@0.560638:0.694268:0.568732:0.694268:0.568732:0.679518:0.560638:0.679518:0.000000
2:@0.560638:0.711918:0.568732:0.711918:0.568732:0.697168:0.560638:0.697168:0.000000
6log:@0.635175:0.702154:0.665678:0.702154:0.665678:0.687404:0.635175:0.687404:0.000000:0.000000:0.000000:0.000000
2:@0.444496:0.703957:0.449186:0.703957:0.449186:0.695409:0.444496:0.695409:0.000000
2:@0.516208:0.703957:0.520899:0.703957:0.520899:0.695409:0.516208:0.695409:0.000000
2:@0.591593:0.703957:0.596284:0.703957:0.596284:0.695409:0.591593:0.695409:0.000000
2:@0.665334:0.703957:0.670025:0.703957:0.670025:0.695409:0.665334:0.695409:0.000000
log:@0.570495:0.702154:0.591946:0.702154:0.591946:0.687404:0.570495:0.687404:0.000000:0.000000:0.000000
():@0.452317:0.703355:0.472816:0.703355:0.472816:0.683868:0.452317:0.683868:0.000000:0.000000
+:@0.475122:0.701780:0.484227:0.701780:0.484227:0.686532:0.475122:0.686532:0.000000
():@0.524028:0.703355:0.545571:0.703355:0.545571:0.683868:0.524028:0.683868:0.000000:0.000000
+:@0.547870:0.701780:0.556975:0.701780:0.556975:0.686532:0.547870:0.686532:0.000000
():@0.599413:0.703355:0.621471:0.703355:0.621471:0.683868:0.599413:0.683868:0.000000:0.000000
−:@0.623773:0.701780:0.632878:0.701780:0.632878:0.686532:0.623773:0.686532:0.000000
():@0.673151:0.703355:0.694462:0.703355:0.694462:0.683868:0.673151:0.683868:0.000000:0.000000
a:@0.530625:0.702154:0.538967:0.702154:0.538967:0.687428:0.530625:0.687428:0.000000
x:@0.607048:0.702154:0.613765:0.702154:0.613765:0.687428:0.607048:0.687428:0.000000
b:@0.679507:0.702154:0.687849:0.702154:0.687849:0.687428:0.679507:0.687428:0.000000
Paso 1. :@0.102121:0.783341:0.157756:0.783341:0.157756:0.767763:0.102121:0.767763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la propiedad de :@0.157756:0.783341:0.340506:0.783341:0.340506:0.768442:0.157756:0.768442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo de potencia. :@0.102121:0.798429:0.257749:0.798429:0.257749:0.783530:0.102121:0.783530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.452034:0.790854:0.464556:0.790854:0.464556:0.776104:0.452034:0.776104:0.000000:0.000000
ln:@0.506831:0.790854:0.519352:0.790854:0.519352:0.776104:0.506831:0.776104:0.000000:0.000000
ln:@0.592442:0.790854:0.604963:0.790854:0.604963:0.776104:0.592442:0.776104:0.000000:0.000000
x:@0.472815:0.790854:0.479532:0.790854:0.479532:0.776129:0.472815:0.776129:0.000000
x:@0.527661:0.790854:0.534378:0.790854:0.534378:0.776129:0.527661:0.776129:0.000000
y:@0.551026:0.790854:0.557759:0.790854:0.557759:0.776129:0.551026:0.776129:0.000000
x y:@0.613269:0.790854:0.643086:0.790854:0.643086:0.776129:0.613269:0.776129:0.000000:0.000000:0.000000
2:@0.480964:0.783958:0.485654:0.783958:0.485654:0.775409:0.480964:0.775409:0.000000
1:@0.567709:0.780423:0.572400:0.780423:0.572400:0.771875:0.567709:0.771875:0.000000
3:@0.571852:0.785833:0.576542:0.785833:0.576542:0.777285:0.571852:0.777285:0.000000
4:@0.651100:0.782227:0.655791:0.782227:0.655791:0.773678:0.651100:0.773678:0.000000
( ):@0.465227:0.793529:0.493885:0.793529:0.493885:0.769574:0.465227:0.769574:0.000000:0.000000:0.000000
−:@0.496183:0.790480:0.505288:0.790480:0.505288:0.775232:0.496183:0.775232:0.000000
+:@0.538077:0.790480:0.547182:0.790480:0.547182:0.775232:0.538077:0.775232:0.000000
(:@0.520024:0.792054:0.525546:0.792054:0.525546:0.772567:0.520024:0.772567:0.000000
):@0.559927:0.792054:0.565450:0.792054:0.565450:0.772567:0.559927:0.772567:0.000000
+:@0.581510:0.790480:0.590615:0.790480:0.590615:0.775232:0.581510:0.775232:0.000000
−:@0.623685:0.790480:0.632790:0.790480:0.632790:0.775232:0.623685:0.775232:0.000000
(:@0.605633:0.792054:0.611156:0.792054:0.611156:0.772567:0.605633:0.772567:0.000000
):@0.645255:0.792054:0.650778:0.792054:0.650778:0.772567:0.645255:0.772567:0.000000
Paso 2.:@0.102121:0.818981:0.154372:0.818981:0.154372:0.803403:0.102121:0.803403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos la propiedad de :@0.154372:0.818981:0.340791:0.818981:0.340791:0.804082:0.154372:0.804082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo del cociente.:@0.102121:0.834068:0.256208:0.834068:0.256208:0.819169:0.102121:0.819169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.470127:0.835514:0.482648:0.835514:0.482648:0.820764:0.470127:0.820764:0.000000:0.000000
ln:@0.574628:0.835514:0.587150:0.835514:0.587150:0.820764:0.574628:0.820764:0.000000:0.000000
x:@0.515636:0.827623:0.522352:0.827623:0.522352:0.812898:0.515636:0.812898:0.000000
x:@0.500411:0.848621:0.507128:0.848621:0.507128:0.833896:0.500411:0.833896:0.000000
y:@0.523779:0.848621:0.530512:0.848621:0.530512:0.833896:0.523779:0.833896:0.000000
xy:@0.595456:0.835514:0.625276:0.835514:0.625276:0.820789:0.595456:0.820789:0.000000:0.000000
2:@0.523793:0.820734:0.528484:0.820734:0.528484:0.812186:0.523793:0.812186:0.000000
1:@0.540469:0.838206:0.545160:0.838206:0.545160:0.829657:0.540469:0.829657:0.000000
3:@0.544612:0.843616:0.549302:0.843616:0.549302:0.835068:0.544612:0.835068:0.000000
4:@0.633280:0.826887:0.637970:0.826887:0.637970:0.818339:0.633280:0.818339:0.000000
+:@0.510835:0.848261:0.519940:0.848261:0.519940:0.833013:0.510835:0.833013:0.000000
(:@0.492791:0.849834:0.498314:0.849834:0.498314:0.830347:0.492791:0.830347:0.000000
):@0.532694:0.849834:0.538217:0.849834:0.538217:0.830347:0.532694:0.830347:0.000000
:@0.483319:0.822128:0.489688:0.822128:0.489688:0.806880:0.483319:0.806880:0.000000
:@0.483319:0.852432:0.489688:0.852432:0.489688:0.837185:0.483319:0.837185:0.000000
:@0.483319:0.833408:0.489688:0.833408:0.489688:0.818160:0.483319:0.818160:0.000000
:@0.483319:0.844623:0.489688:0.844623:0.489688:0.829375:0.483319:0.829375:0.000000
:@0.554833:0.822131:0.561202:0.822131:0.561202:0.806883:0.554833:0.806883:0.000000
:@0.554842:0.852432:0.561210:0.852432:0.561210:0.837185:0.554842:0.837185:0.000000
 +:@0.554842:0.833408:0.572806:0.835141:0.572806:0.819893:0.554842:0.818160:0.000000:0.000000:0.000000
:@0.554842:0.844623:0.561210:0.844623:0.561210:0.829375:0.554842:0.829375:0.000000
−:@0.605876:0.835141:0.614981:0.835141:0.614981:0.819893:0.605876:0.819893:0.000000
(:@0.587824:0.836716:0.593347:0.836716:0.593347:0.817229:0.587824:0.817229:0.000000
):@0.627445:0.836716:0.632968:0.836716:0.632968:0.817229:0.627445:0.817229:0.000000
Paso 3.:@0.102121:0.873867:0.154372:0.873867:0.154372:0.858289:0.102121:0.858289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos la propiedad de :@0.154372:0.873867:0.340791:0.873867:0.340791:0.858968:0.154372:0.858968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo del producto.:@0.102121:0.888955:0.260981:0.888955:0.260981:0.874056:0.102121:0.874056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.503296:0.890400:0.515818:0.890400:0.515818:0.875650:0.503296:0.875650:0.000000:0.000000
x:@0.527228:0.881451:0.533945:0.881451:0.533945:0.866726:0.527228:0.866726:0.000000
x y:@0.550829:0.881451:0.580648:0.881451:0.580648:0.866726:0.550829:0.866726:0.000000:0.000000:0.000000
x:@0.538771:0.903520:0.545488:0.903520:0.545488:0.888795:0.538771:0.888795:0.000000
y:@0.562140:0.903520:0.568873:0.903520:0.568873:0.888795:0.562140:0.888795:0.000000
2:@0.535384:0.874558:0.540074:0.874558:0.540074:0.866009:0.535384:0.866009:0.000000
4:@0.588671:0.872826:0.593362:0.872826:0.593362:0.864278:0.588671:0.864278:0.000000
1:@0.578819:0.893090:0.583510:0.893090:0.583510:0.884542:0.578819:0.884542:0.000000
3:@0.582962:0.898500:0.587652:0.898500:0.587652:0.889952:0.582962:0.889952:0.000000
−:@0.561250:0.881080:0.570355:0.881080:0.570355:0.865832:0.561250:0.865832:0.000000
(:@0.543204:0.882655:0.548727:0.882655:0.548727:0.863168:0.543204:0.863168:0.000000
):@0.582825:0.882655:0.588348:0.882655:0.588348:0.863168:0.582825:0.863168:0.000000
+:@0.549188:0.903146:0.558293:0.903146:0.558293:0.887898:0.549188:0.887898:0.000000
(:@0.531142:0.904720:0.536665:0.904720:0.536665:0.885234:0.531142:0.885234:0.000000
):@0.571045:0.904720:0.576568:0.904720:0.576568:0.885234:0.571045:0.885234:0.000000
:@0.516489:0.877014:0.522858:0.877014:0.522858:0.861766:0.516489:0.861766:0.000000
:@0.516489:0.907319:0.522858:0.907319:0.522858:0.892071:0.516489:0.892071:0.000000
:@0.516489:0.888299:0.522858:0.888299:0.522858:0.873051:0.516489:0.873051:0.000000
:@0.516489:0.899514:0.522858:0.899514:0.522858:0.884266:0.516489:0.884266:0.000000
:@0.598425:0.877014:0.604794:0.877014:0.604794:0.861766:0.598425:0.861766:0.000000
:@0.598425:0.907319:0.604794:0.907319:0.604794:0.892071:0.598425:0.892071:0.000000
:@0.598425:0.888299:0.604794:0.888299:0.604794:0.873051:0.598425:0.873051:0.000000
:@0.598425:0.899514:0.604794:0.899514:0.604794:0.884266:0.598425:0.884266:0.000000
Los ríos, lagos y océanos :@0.754293:0.249104:0.920527:0.249104:0.920527:0.234205:0.754293:0.234205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen valores de pH que :@0.754293:0.262934:0.925433:0.262934:0.925433:0.248035:0.754293:0.248035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varían según la :@0.754293:0.276765:0.858141:0.276765:0.858141:0.261866:0.754293:0.261866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
composición del agua y la :@0.754293:0.290595:0.932052:0.290595:0.932052:0.275696:0.754293:0.275696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presencia de sustancias :@0.754293:0.304425:0.914580:0.304425:0.914580:0.289526:0.754293:0.289526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disueltas. Un pH :@0.754293:0.318256:0.865761:0.318256:0.865761:0.303357:0.754293:0.303357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demasiado bajo (ácido) :@0.754293:0.332086:0.914077:0.332086:0.914077:0.317187:0.754293:0.317187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser por la :@0.754293:0.345916:0.866048:0.345916:0.866048:0.331017:0.754293:0.331017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contaminación industrial :@0.754293:0.359747:0.924076:0.359747:0.924076:0.344847:0.754293:0.344847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o la lluvia ácida, que :@0.754293:0.373577:0.891696:0.373577:0.891696:0.358678:0.754293:0.358678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afecta a los organismos :@0.754293:0.387407:0.913623:0.387407:0.913623:0.372508:0.754293:0.372508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acuáticos. Por otro lado, :@0.754293:0.401237:0.915968:0.401237:0.915968:0.386338:0.754293:0.386338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un pH elevado (básico) :@0.754293:0.415068:0.911579:0.415068:0.911579:0.400169:0.754293:0.400169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser causado por :@0.754293:0.428898:0.910743:0.428898:0.910743:0.413999:0.754293:0.413999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descargas químicas y :@0.754293:0.442728:0.899017:0.442728:0.899017:0.427829:0.754293:0.427829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alterar el ecosistema.:@0.754293:0.456559:0.893101:0.456559:0.893101:0.441660:0.754293:0.441660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.800494:0.209747:0.878729:0.209747:0.878729:0.192846:0.800494:0.192846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.799024:0.223577:0.876839:0.223577:0.876839:0.206676:0.799024:0.206676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.947692:0.553072:0.947692:0.510246:0.935781:0.510246:0.935781:0.553072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Río Guayas con aguas para :@0.754056:0.590618:0.917597:0.590618:0.917597:0.577209:0.754056:0.577209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
análisis del pH:@0.754056:0.603190:0.839710:0.603190:0.839710:0.589781:0.754056:0.589781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000