﻿119:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
2.:@0.108233:0.096411:0.120505:0.096411:0.120505:0.079697:0.108233:0.079697:0.000000:0.000000
  Se conocen valores aproximados con siete cifras luego de la coma :@0.120506:0.096194:0.599840:0.096194:0.599840:0.079697:0.120506:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal de los siguientes logaritmos: :@0.131968:0.113545:0.394513:0.113545:0.394513:0.097047:0.131968:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.148246:0.112375:0.148246:0.112375:0.131749:0.108233:0.131749:0.000000
ln:@0.131968:0.148362:0.145049:0.148362:0.145049:0.131893:0.131968:0.131893:0.000000:0.000000
(2)   0,693 147 2,   (3)   1,098 612 3,   (5)   1,609 437 9.:@0.145049:0.148246:0.556670:0.148246:0.556670:0.131749:0.145049:0.131749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≃:@0.169600:0.154808:0.182114:0.154808:0.182114:0.137536:0.169600:0.137536:0.000000
ln:@0.276304:0.148362:0.289385:0.148362:0.289385:0.131893:0.276304:0.131893:0.000000:0.000000
≃:@0.313926:0.154808:0.326440:0.154808:0.326440:0.137536:0.313926:0.137536:0.000000
ln:@0.420629:0.148362:0.433710:0.148362:0.433710:0.131893:0.420629:0.131893:0.000000:0.000000
≃:@0.458253:0.154808:0.470767:0.154808:0.470767:0.137536:0.458253:0.137536:0.000000
 :@0.108233:0.165597:0.112375:0.165597:0.112375:0.149100:0.108233:0.149100:0.000000
i):@0.131968:0.190076:0.141735:0.190076:0.141735:0.173579:0.131968:0.173579:0.000000:0.000000
  Obtén el valor aproximado de           con siete cifras de precisión.:@0.141736:0.190077:0.595659:0.190077:0.595659:0.173579:0.141736:0.173579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.364939:0.190193:0.377827:0.190193:0.377827:0.173724:0.364939:0.173724:0.000000:0.000000
 :@0.131949:0.224778:0.136091:0.224778:0.136091:0.208281:0.131949:0.208281:0.000000
ln:@0.155684:0.224894:0.168765:0.224894:0.168765:0.208425:0.155684:0.208425:0.000000:0.000000
        =           = 3 (2) –  (5) :@0.168765:0.224778:0.380548:0.224778:0.380548:0.208281:0.168765:0.208281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.216851:0.224894:0.229933:0.224894:0.229933:0.208425:0.216851:0.208425:0.000000:0.000000
ln:@0.290657:0.224894:0.303738:0.224894:0.303738:0.208425:0.290657:0.208425:0.000000:0.000000
ln:@0.342923:0.224894:0.356004:0.224894:0.356004:0.208425:0.342923:0.208425:0.000000:0.000000
≃:@0.380580:0.231340:0.393094:0.231340:0.393094:0.214068:0.380580:0.214068:0.000000
 :@0.131975:0.263778:0.135660:0.263778:0.135660:0.246506:0.131975:0.246506:0.000000
3 × 0,693 147 2 – 1,609 437 9   = 0,470 003 7.:@0.155721:0.257217:0.477613:0.257217:0.477613:0.240719:0.155721:0.240719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≃:@0.364245:0.263778:0.376759:0.263778:0.376759:0.246506:0.364245:0.246506:0.000000
ii):@0.131975:0.291918:0.145557:0.291918:0.145557:0.275421:0.131975:0.275421:0.000000:0.000000:0.000000
  Obtén el valor aproximado de   = :@0.145557:0.291918:0.400588:0.291918:0.400588:0.275421:0.145557:0.275421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ln           .:@0.373809:0.292034:0.460349:0.292034:0.460349:0.275565:0.373809:0.275565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.131975:0.326620:0.136117:0.326620:0.136117:0.310122:0.131975:0.310122:0.000000
Primeramente, 200 = 5  × 2  y 9 = 3 . Entonces, :@0.155709:0.326620:0.490803:0.326620:0.490803:0.310122:0.155709:0.310122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.317122:0.320267:0.322075:0.320267:0.322075:0.310649:0.317122:0.310649:0.000000
3:@0.349664:0.320267:0.354617:0.320267:0.354617:0.310649:0.349664:0.310649:0.000000
2:@0.406804:0.320267:0.411758:0.320267:0.411758:0.310649:0.406804:0.310649:0.000000
 :@0.131968:0.361321:0.136110:0.361321:0.136110:0.344824:0.131968:0.344824:0.000000
y ln:@0.155703:0.361437:0.195562:0.361437:0.195562:0.344968:0.155703:0.344968:0.000000:0.000000:0.000000:0.000000
 =             = :@0.163389:0.361321:0.256075:0.361321:0.256075:0.344824:0.163389:0.344824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln               :@0.256075:0.361437:0.331286:0.361437:0.331286:0.344968:0.256075:0.344968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = 2 (5) + 3 (2) – 2 (3):@0.331286:0.361321:0.514191:0.361321:0.514191:0.344824:0.331286:0.344824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.358874:0.361437:0.371955:0.361437:0.371955:0.344968:0.358874:0.344968:0.000000:0.000000
ln:@0.419945:0.361437:0.433026:0.361437:0.433026:0.344968:0.419945:0.344968:0.000000:0.000000
ln:@0.480708:0.361437:0.493789:0.361437:0.493789:0.344968:0.480708:0.344968:0.000000:0.000000
 :@0.131968:0.396023:0.136110:0.396023:0.136110:0.379525:0.131968:0.379525:0.000000
≃:@0.155721:0.402584:0.168235:0.402584:0.168235:0.385312:0.155721:0.385312:0.000000
 2 × 1,609 437 9 + 3 × 0,693 147 2 – 2 × 1,098 612 3 = 3,101 092 8.:@0.167816:0.396023:0.595852:0.396023:0.595852:0.379525:0.167816:0.379525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.108229:0.430941:0.120501:0.430941:0.120501:0.414227:0.108229:0.414227:0.000000:0.000000
  Sea       y   =                . Demuestra que z = 10:@0.120501:0.430724:0.473512:0.430724:0.473512:0.414227:0.120501:0.414227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.160227:0.430840:0.169204:0.430840:0.169204:0.414371:0.160227:0.414371:0.000000
:@0.173358:0.430206:0.188010:0.430206:0.188010:0.416832:0.173358:0.416832:0.000000
:@0.192153:0.429637:0.205457:0.429637:0.205457:0.416775:0.192153:0.416775:0.000000
z:@0.221563:0.430840:0.228210:0.430840:0.228210:0.414371:0.221563:0.414371:0.000000
a:@0.473509:0.424439:0.478743:0.424439:0.478743:0.414838:0.473509:0.414838:0.000000
(1–:@0.478743:0.424371:0.493288:0.424371:0.493288:0.414753:0.478743:0.414753:0.000000:0.000000:0.000000
log:@0.493288:0.424439:0.504867:0.424439:0.504867:0.414838:0.493288:0.414838:0.000000:0.000000:0.000000
(3)):@0.504868:0.424371:0.520233:0.424371:0.520233:0.414753:0.504868:0.414753:0.000000:0.000000:0.000000:0.000000
 y calcula :@0.520231:0.430724:0.589238:0.430724:0.589238:0.414227:0.520231:0.414227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a z:@0.131979:0.448191:0.165943:0.448191:0.165943:0.431722:0.131979:0.431722:0.000000:0.000000:0.000000
 si   = 100.:@0.140956:0.448075:0.213278:0.448075:0.213278:0.431577:0.140956:0.431577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea     . De las propiedades de los logaritmos, tenemos::@0.131978:0.472553:0.545870:0.472553:0.545870:0.456056:0.131978:0.456056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.160240:0.472669:0.169218:0.472669:0.169218:0.456200:0.160240:0.456200:0.000000
:@0.173358:0.472035:0.188010:0.472035:0.188010:0.458662:0.173358:0.458662:0.000000
:@0.192153:0.471466:0.205457:0.471466:0.205457:0.458604:0.192153:0.458604:0.000000
 :@0.108225:0.500590:0.112367:0.500590:0.112367:0.484092:0.108225:0.484092:0.000000
log z:@0.131959:0.500706:0.164421:0.500706:0.164421:0.484237:0.131959:0.484237:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.151822:0.500590:0.189466:0.500590:0.189466:0.484092:0.151822:0.484092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log                   log:@0.189466:0.500706:0.322840:0.500706:0.322840:0.484237:0.189466:0.484237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.283885:0.500590:0.302977:0.500590:0.302977:0.484092:0.283885:0.484092:0.000000:0.000000:0.000000
(5 ) + :@0.322840:0.500590:0.367580:0.500596:0.367580:0.484099:0.322840:0.484092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.337302:0.494311:0.342536:0.494311:0.342536:0.484710:0.337302:0.484710:0.000000
log:@0.367580:0.500712:0.387443:0.500712:0.387443:0.484243:0.367580:0.484243:0.000000:0.000000:0.000000
(2 ) – :@0.387443:0.500596:0.431861:0.500596:0.431861:0.484099:0.387443:0.484099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.401891:0.494311:0.407125:0.494311:0.407125:0.484710:0.401891:0.484710:0.000000
log:@0.431861:0.500712:0.451723:0.500712:0.451723:0.484243:0.431861:0.484243:0.000000:0.000000:0.000000
(3 ):@0.451723:0.500596:0.477358:0.500596:0.477358:0.484099:0.451723:0.484099:0.000000:0.000000:0.000000:0.000000
a:@0.466171:0.494311:0.471405:0.494311:0.471405:0.484710:0.466171:0.484710:0.000000
=:@0.175239:0.528632:0.186047:0.528632:0.186047:0.512134:0.175239:0.512134:0.000000
alog:@0.190189:0.528747:0.220956:0.528747:0.220956:0.512278:0.190189:0.512278:0.000000:0.000000:0.000000:0.000000
(5) + :@0.220956:0.528632:0.260450:0.528632:0.260450:0.512134:0.220956:0.512134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alog:@0.260450:0.528747:0.291214:0.528747:0.291214:0.512278:0.260450:0.512278:0.000000:0.000000:0.000000:0.000000
(2) – :@0.291216:0.528632:0.330402:0.528632:0.330402:0.512134:0.291216:0.512134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alog:@0.330402:0.528747:0.361166:0.528747:0.361166:0.512278:0.330402:0.512278:0.000000:0.000000:0.000000:0.000000
(3):@0.361168:0.528632:0.381570:0.528632:0.381570:0.512134:0.361168:0.512134:0.000000:0.000000:0.000000
= (:@0.175239:0.556668:0.205120:0.556668:0.205120:0.540170:0.175239:0.540170:0.000000:0.000000:0.000000
a log:@0.190189:0.556784:0.224982:0.556784:0.224982:0.540315:0.190189:0.540315:0.000000:0.000000:0.000000:0.000000:0.000000
(5) + :@0.224982:0.556668:0.264476:0.556668:0.264476:0.540170:0.224982:0.540170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.264476:0.556784:0.284338:0.556784:0.284338:0.540315:0.264476:0.540315:0.000000:0.000000:0.000000
(2) – :@0.284338:0.556668:0.323524:0.556668:0.323524:0.540170:0.284338:0.540170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.323524:0.556784:0.343384:0.556784:0.343384:0.540315:0.323524:0.540315:0.000000:0.000000:0.000000
(3)) =  (1 – :@0.343386:0.556668:0.431043:0.556668:0.431043:0.540170:0.343386:0.540170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.388833:0.556784:0.397811:0.556784:0.397811:0.540315:0.388833:0.540315:0.000000
log:@0.431043:0.556784:0.450906:0.556784:0.450906:0.540315:0.431043:0.540315:0.000000:0.000000:0.000000
(3)),:@0.450906:0.556668:0.479630:0.556668:0.479630:0.540170:0.450906:0.540170:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.584703:0.112377:0.584703:0.112377:0.568206:0.108235:0.568206:0.000000
 :@0.131989:0.584703:0.136131:0.584703:0.136131:0.568206:0.131989:0.568206:0.000000
de donde z = 10:@0.175239:0.584703:0.291426:0.584703:0.291426:0.568206:0.175239:0.568206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.291429:0.578439:0.296663:0.578439:0.296663:0.568838:0.291429:0.568838:0.000000
(1–:@0.296663:0.578372:0.311208:0.578372:0.311208:0.568754:0.296663:0.568754:0.000000:0.000000:0.000000
log:@0.311208:0.578439:0.322787:0.578439:0.322787:0.568838:0.311208:0.568838:0.000000:0.000000:0.000000
(3)):@0.322788:0.578372:0.338152:0.578372:0.338152:0.568754:0.322788:0.568754:0.000000:0.000000:0.000000:0.000000
.:@0.338151:0.584725:0.340906:0.584725:0.340906:0.568227:0.338151:0.568227:0.000000
 :@0.108240:0.619426:0.112382:0.619426:0.112382:0.602929:0.108240:0.602929:0.000000
De la igualdad obtenida :@0.131975:0.619426:0.304069:0.619426:0.304069:0.602929:0.131975:0.602929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log z:@0.303665:0.619542:0.336088:0.619542:0.336088:0.603073:0.303665:0.603073:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  (1 – :@0.323488:0.619426:0.402129:0.619426:0.402129:0.602929:0.323488:0.602929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.360324:0.619542:0.369301:0.619542:0.369301:0.603073:0.360324:0.603073:0.000000
log:@0.401725:0.619542:0.421587:0.619542:0.421587:0.603073:0.401725:0.603073:0.000000:0.000000:0.000000
(3)) y tomando en cuen-:@0.421549:0.619426:0.595774:0.619426:0.595774:0.602929:0.421549:0.602929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta que para   = 100 = 10 , obtenemos :@0.131955:0.636777:0.403614:0.636777:0.403614:0.620279:0.131955:0.620279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.217666:0.636893:0.224313:0.636893:0.224313:0.620424:0.217666:0.620424:0.000000
2:@0.306094:0.630424:0.311047:0.630424:0.311047:0.620806:0.306094:0.620806:0.000000
log z:@0.403883:0.636893:0.436347:0.636893:0.436347:0.620424:0.403883:0.620424:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.423748:0.636777:0.461662:0.636777:0.461662:0.620279:0.423748:0.620279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.461931:0.636893:0.481794:0.636893:0.481794:0.620424:0.461931:0.620424:0.000000:0.000000:0.000000
(10 ) = 2, con lo :@0.481794:0.636777:0.599899:0.636777:0.599899:0.620279:0.481794:0.620279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.504747:0.630424:0.509700:0.630424:0.509700:0.620806:0.504747:0.620806:0.000000
que::@0.131985:0.654128:0.161747:0.654128:0.161747:0.637630:0.131985:0.637630:0.000000:0.000000:0.000000:0.000000
2 =  (1 – :@0.172904:0.671479:0.242702:0.671479:0.242702:0.654981:0.172904:0.654981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.200492:0.671594:0.209469:0.671594:0.209469:0.655125:0.200492:0.655125:0.000000
log:@0.242702:0.671594:0.262565:0.671594:0.262565:0.655125:0.242702:0.655125:0.000000:0.000000:0.000000
(3))     =                      3,824 978 578.:@0.262565:0.671479:0.531101:0.671479:0.531101:0.654981:0.262565:0.654981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.293056:0.670558:0.310512:0.670558:0.310512:0.655156:0.293056:0.655156:0.000000
a:@0.314654:0.671594:0.323631:0.671594:0.323631:0.655125:0.314654:0.655125:0.000000
≃:@0.421419:0.678040:0.433933:0.678040:0.433933:0.660768:0.421419:0.660768:0.000000
4.:@0.108229:0.706397:0.120501:0.706397:0.120501:0.689682:0.108229:0.689682:0.000000:0.000000
  Sean   > 0 y   ≠ 1. Para   > 0 se tiene::@0.120501:0.706180:0.396609:0.706180:0.396609:0.689682:0.120501:0.689682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.169763:0.706296:0.178741:0.706296:0.178741:0.689827:0.169763:0.689827:0.000000
a:@0.222434:0.706296:0.231412:0.706296:0.231412:0.689827:0.222434:0.689827:0.000000
x:@0.300381:0.706296:0.307856:0.706296:0.307856:0.689827:0.300381:0.689827:0.000000
 :@0.108229:0.730658:0.112371:0.730658:0.112371:0.714161:0.108229:0.714161:0.000000
z =     :@0.131964:0.730658:0.174695:0.730658:0.174695:0.714161:0.131964:0.714161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.174695:0.730774:0.194555:0.730774:0.194555:0.714305:0.174695:0.714305:0.000000:0.000000:0.000000
a:@0.194761:0.734004:0.199995:0.734004:0.199995:0.724403:0.194761:0.724403:0.000000
(8) – 4:@0.199994:0.730658:0.247676:0.730658:0.247676:0.714161:0.199994:0.714161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.247676:0.730774:0.267536:0.730774:0.267536:0.714305:0.247676:0.714305:0.000000:0.000000:0.000000
a:@0.267729:0.734004:0.272963:0.734004:0.272963:0.724403:0.267729:0.724403:0.000000
(2) + 3:@0.272964:0.730658:0.320954:0.730658:0.320954:0.714161:0.272964:0.714161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.320954:0.730774:0.340817:0.730774:0.340817:0.714305:0.320954:0.714305:0.000000:0.000000:0.000000
a:@0.341008:0.734004:0.346242:0.734004:0.346242:0.724403:0.341008:0.724403:0.000000
(1 +  ). Simplifiquemos la escritura:@0.346241:0.730658:0.591754:0.730658:0.591754:0.714161:0.346241:0.714161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.379782:0.730774:0.387257:0.730774:0.387257:0.714305:0.379782:0.714305:0.000000
de . Apliquemos las propiedades de los logaritmos y escribamos :@0.131973:0.755138:0.599976:0.755138:0.599976:0.738640:0.131973:0.738640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.154494:0.755254:0.161140:0.755254:0.161140:0.738785:0.154494:0.738785:0.000000
z:@0.131973:0.772605:0.138619:0.772605:0.138619:0.756136:0.131973:0.756136:0.000000
 con un solo logaritmo. Tenemos::@0.138619:0.772489:0.374923:0.772489:0.374923:0.755991:0.138619:0.755991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z =     :@0.179462:0.807190:0.222192:0.807190:0.222192:0.790693:0.179462:0.790693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.222192:0.807306:0.242053:0.807306:0.242053:0.790837:0.222192:0.790837:0.000000:0.000000:0.000000
a:@0.242247:0.810535:0.247481:0.810535:0.247481:0.800933:0.242247:0.800933:0.000000
(8) – 4:@0.247482:0.807189:0.295164:0.807189:0.295164:0.790691:0.247482:0.790691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.295164:0.807305:0.315024:0.807305:0.315024:0.790836:0.295164:0.790836:0.000000:0.000000:0.000000
a:@0.315217:0.810535:0.320451:0.810535:0.320451:0.800933:0.315217:0.800933:0.000000
(2) + 3:@0.320451:0.807189:0.368440:0.807189:0.368440:0.790691:0.320451:0.790691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.368440:0.807305:0.388303:0.807305:0.388303:0.790836:0.368440:0.790836:0.000000:0.000000:0.000000
a:@0.388494:0.810535:0.393728:0.810535:0.393728:0.800933:0.388494:0.800933:0.000000
(1 +  ):@0.393727:0.807189:0.440696:0.807189:0.440696:0.790691:0.393727:0.790691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.427268:0.807305:0.434743:0.807305:0.434743:0.790836:0.427268:0.790836:0.000000
= :@0.179459:0.838796:0.194409:0.838796:0.194409:0.822299:0.179459:0.822299:0.000000:0.000000
log:@0.194409:0.838912:0.214272:0.838912:0.214272:0.822443:0.194409:0.822443:0.000000:0.000000:0.000000
a:@0.214468:0.842141:0.219702:0.842141:0.219702:0.832539:0.214468:0.832539:0.000000
(8  ) + :@0.219702:0.838796:0.267480:0.838796:0.267480:0.822299:0.219702:0.822299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.267480:0.838912:0.287342:0.838912:0.287342:0.822443:0.267480:0.822443:0.000000:0.000000:0.000000
a:@0.287534:0.842141:0.292768:0.842141:0.292768:0.832539:0.287534:0.832539:0.000000
(2 ) + :@0.292767:0.838796:0.343335:0.838796:0.343335:0.822299:0.292767:0.822299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.307216:0.832443:0.318291:0.832443:0.318291:0.822825:0.307216:0.822825:0.000000:0.000000
log:@0.343335:0.838912:0.363197:0.838912:0.363197:0.822443:0.343335:0.822443:0.000000:0.000000:0.000000
a:@0.363389:0.842141:0.368623:0.842141:0.368623:0.832539:0.363389:0.832539:0.000000
(1 +  ):@0.368622:0.838796:0.415591:0.838796:0.415591:0.822299:0.368622:0.822299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.402163:0.838912:0.409638:0.838912:0.409638:0.822443:0.402163:0.822443:0.000000
3:@0.415589:0.832443:0.420542:0.832443:0.420542:0.822825:0.415589:0.822825:0.000000
= :@0.179464:0.870404:0.194414:0.870404:0.194414:0.853906:0.179464:0.853906:0.000000:0.000000
log:@0.194414:0.870519:0.214277:0.870519:0.214277:0.854051:0.194414:0.854051:0.000000:0.000000:0.000000
a:@0.214468:0.873748:0.219702:0.873748:0.219702:0.864147:0.214468:0.864147:0.000000
  8   × 2  × (1 +  )    = :@0.219702:0.870404:0.375426:0.870404:0.375426:0.853906:0.219702:0.853906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.271968:0.864051:0.283042:0.864051:0.283042:0.854433:0.271968:0.854433:0.000000:0.000000
x:@0.332977:0.870519:0.340451:0.870519:0.340451:0.854051:0.332977:0.854051:0.000000
3:@0.345633:0.864051:0.350586:0.864051:0.350586:0.854433:0.345633:0.854433:0.000000
log:@0.375426:0.870519:0.395289:0.870519:0.395289:0.854051:0.375426:0.854051:0.000000:0.000000:0.000000
a:@0.395480:0.873748:0.400714:0.873748:0.400714:0.864147:0.395480:0.864147:0.000000
((2  × 2  × (1 +  ) ):@0.400713:0.870404:0.539769:0.870404:0.539769:0.853906:0.400713:0.853906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.421114:0.864051:0.426067:0.864051:0.426067:0.854433:0.421114:0.854433:0.000000
–4:@0.452500:0.864051:0.463574:0.864051:0.463574:0.854433:0.452500:0.854433:0.000000:0.000000
x:@0.515435:0.870519:0.522910:0.870519:0.522910:0.854051:0.515435:0.854051:0.000000
3:@0.528862:0.864051:0.533815:0.864051:0.533815:0.854433:0.528862:0.854433:0.000000
= :@0.179470:0.902011:0.194035:0.902011:0.194035:0.885513:0.179470:0.885513:0.000000:0.000000
log:@0.193649:0.902127:0.213512:0.902127:0.213512:0.885658:0.193649:0.885658:0.000000:0.000000:0.000000
a:@0.213698:0.905355:0.218932:0.905355:0.218932:0.895754:0.213698:0.895754:0.000000
       (1 +  )   .:@0.218931:0.902010:0.308187:0.902010:0.308187:0.885512:0.218931:0.885512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.278769:0.902125:0.286244:0.902125:0.286244:0.885657:0.278769:0.885657:0.000000
3:@0.292194:0.895658:0.297148:0.895658:0.297148:0.886040:0.292194:0.886040:0.000000
Recuerda que…:@0.684804:0.236886:0.794564:0.236886:0.794564:0.221414:0.684804:0.221414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado   :@0.685042:0.265514:0.739622:0.265514:0.739622:0.250451:0.685042:0.250451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.724969:0.265619:0.735839:0.265619:0.735839:0.250583:0.724969:0.250583:0.000000
 :@0.739621:0.265165:0.757764:0.265165:0.757764:0.252428:0.739621:0.252428:0.000000:0.000000
:@0.757764:0.264511:0.769859:0.264511:0.769859:0.252818:0.757764:0.252818:0.000000
+:@0.769859:0.259084:0.775612:0.259084:0.775612:0.250303:0.769859:0.250303:0.000000
, ¿cómo :@0.775612:0.265514:0.829085:0.265514:0.829085:0.250451:0.775612:0.250451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están relacionados :@0.638498:0.281356:0.762206:0.281356:0.762206:0.266293:0.638498:0.266293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log N:@0.762206:0.281461:0.801607:0.281461:0.801607:0.266425:0.762206:0.266425:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.780523:0.284409:0.785302:0.284409:0.785302:0.275643:0.780523:0.275643:0.000000
( ) y :@0.785301:0.281356:0.821748:0.281356:0.821748:0.266293:0.785301:0.266293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log N:@0.638495:0.297303:0.677824:0.297303:0.677824:0.282267:0.638495:0.282267:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.656586:0.300251:0.661518:0.300251:0.661518:0.291485:0.656586:0.291485:0.000000
( )? Tenemos la respuesta :@0.661518:0.297198:0.834864:0.297198:0.834864:0.282135:0.661518:0.282135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el siguiente teorema.:@0.638510:0.313040:0.791577:0.313040:0.791577:0.297977:0.638510:0.297977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema  :@0.638510:0.336433:0.706372:0.336433:0.706372:0.320961:0.638510:0.320961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.699635:0.336209:0.702696:0.336209:0.702696:0.320947:0.699635:0.320947:0.000000
Sean  ,   :@0.706372:0.336011:0.767612:0.336009:0.767612:0.320946:0.706372:0.320947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.740876:0.336115:0.763829:0.336115:0.763829:0.321079:0.740876:0.321079:0.000000:0.000000:0.000000
 :@0.767611:0.335660:0.785754:0.335660:0.785754:0.322924:0.767611:0.322924:0.000000:0.000000
:@0.785754:0.335007:0.797849:0.335007:0.797849:0.323314:0.785754:0.323314:0.000000
+:@0.797849:0.329581:0.803602:0.329581:0.803602:0.320800:0.797849:0.320800:0.000000
 con   :@0.803602:0.336009:0.847753:0.336009:0.847753:0.320946:0.803602:0.320946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.835774:0.336115:0.843971:0.336115:0.843971:0.321078:0.835774:0.321078:0.000000
≠ 1,   ≠ 1 bases de dos fun-:@0.638502:0.351851:0.816792:0.351851:0.816792:0.336788:0.638502:0.336788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.666206:0.351957:0.674667:0.351957:0.674667:0.336920:0.666206:0.336920:0.000000
ciones logarítmicas,   :@0.638502:0.367693:0.783530:0.367693:0.783530:0.352630:0.638502:0.352630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.768879:0.367799:0.779749:0.367799:0.779749:0.352763:0.768879:0.352763:0.000000
 :@0.783531:0.367344:0.801673:0.367344:0.801673:0.354608:0.783531:0.354608:0.000000:0.000000
:@0.801673:0.366691:0.813769:0.366691:0.813769:0.354998:0.801673:0.354998:0.000000
+:@0.813769:0.361265:0.819522:0.361265:0.819522:0.352484:0.813769:0.352484:0.000000
. :@0.819521:0.367693:0.825819:0.367693:0.825819:0.352630:0.819521:0.352630:0.000000:0.000000
Entonces,:@0.638503:0.383535:0.700593:0.383535:0.700593:0.368472:0.638503:0.368472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log N:@0.664712:0.399483:0.704108:0.399483:0.704108:0.384446:0.664712:0.384446:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.683023:0.402432:0.687802:0.402432:0.687802:0.393665:0.683023:0.393665:0.000000
( ) = :@0.687802:0.399377:0.726975:0.399377:0.726975:0.384314:0.687802:0.384314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log b log N:@0.726975:0.399483:0.812496:0.399483:0.812496:0.384446:0.726975:0.384446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.745285:0.402432:0.750064:0.402432:0.750064:0.393665:0.745285:0.393665:0.000000
( ) :@0.750063:0.399377:0.773176:0.399377:0.773176:0.384314:0.750063:0.384314:0.000000:0.000000:0.000000:0.000000
b:@0.791258:0.402432:0.796191:0.402432:0.796191:0.393665:0.791258:0.393665:0.000000
( ).:@0.796190:0.399377:0.820447:0.399377:0.820447:0.384314:0.796190:0.384314:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.489722:0.827156:0.489722:0.827156:0.474250:0.684804:0.474250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si no dispones de una :@0.685042:0.518349:0.830738:0.518349:0.830738:0.503286:0.685042:0.503286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora científica, :@0.638498:0.534191:0.782049:0.534191:0.782049:0.519128:0.638498:0.519128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.782049:0.534389:0.829698:0.534389:0.829698:0.519128:0.782049:0.519128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.829702:0.534191:0.833484:0.534191:0.833484:0.519128:0.829702:0.519128:0.000000
al siguiente enlace y :@0.638498:0.550033:0.770036:0.550033:0.770036:0.534970:0.638498:0.534970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula:@0.770036:0.550231:0.816754:0.550231:0.816754:0.534970:0.770036:0.534970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el :@0.816756:0.550033:0.834996:0.550033:0.834996:0.534970:0.816756:0.534970:0.000000:0.000000:0.000000:0.000000
logaritmo de cualquier base::@0.638498:0.565875:0.821325:0.565875:0.821325:0.550812:0.638498:0.550812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13m09:@0.638498:0.589176:0.736387:0.589176:0.736387:0.573862:0.638498:0.573862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.387345:0.182820:0.395841:0.182820:0.395841:0.166322:0.387345:0.166322:0.000000
5:@0.387345:0.199158:0.395841:0.199158:0.395841:0.182661:0.387345:0.182661:0.000000
8:@0.179506:0.217397:0.188002:0.217397:0.188002:0.200899:0.179506:0.200899:0.000000
5:@0.179506:0.233735:0.188002:0.233735:0.188002:0.217238:0.179506:0.217238:0.000000
2:@0.241818:0.217397:0.250314:0.217397:0.250314:0.200899:0.241818:0.200899:0.000000
3:@0.250468:0.211044:0.255421:0.211044:0.255421:0.201426:0.250468:0.201426:0.000000
5:@0.244351:0.233742:0.252847:0.233742:0.252847:0.217244:0.244351:0.217244:0.000000
200:@0.423116:0.284255:0.448989:0.284255:0.448989:0.267757:0.423116:0.267757:0.000000:0.000000:0.000000
9:@0.431805:0.300594:0.440301:0.300594:0.440301:0.284096:0.431805:0.284096:0.000000
200:@0.204978:0.353744:0.230851:0.353744:0.230851:0.337246:0.204978:0.337246:0.000000:0.000000:0.000000
9:@0.213667:0.370082:0.222163:0.370082:0.222163:0.353584:0.213667:0.353584:0.000000
5  × 2:@0.278603:0.353744:0.319640:0.353744:0.319640:0.337246:0.278603:0.337246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.287098:0.347391:0.292052:0.347391:0.292052:0.337772:0.287098:0.337772:0.000000
3:@0.319638:0.347391:0.324591:0.347391:0.324591:0.337772:0.319638:0.337772:0.000000
3:@0.294816:0.370088:0.303312:0.370088:0.303312:0.353591:0.294816:0.353591:0.000000
2:@0.303465:0.363735:0.308419:0.363735:0.308419:0.354117:0.303465:0.354117:0.000000
5  × 2:@0.252612:0.424103:0.293928:0.424103:0.293928:0.407606:0.252612:0.407606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.261107:0.417818:0.266341:0.417818:0.266341:0.408217:0.261107:0.408217:0.000000
a:@0.293928:0.417818:0.299162:0.417818:0.299162:0.408217:0.293928:0.408217:0.000000
3:@0.269023:0.440448:0.277519:0.440448:0.277519:0.423951:0.269023:0.423951:0.000000
a:@0.277615:0.434163:0.282849:0.434163:0.282849:0.424562:0.277615:0.424562:0.000000
5  × 2:@0.224475:0.493184:0.265791:0.493184:0.265791:0.476687:0.224475:0.476687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.232970:0.486900:0.238204:0.486900:0.238204:0.477299:0.232970:0.477299:0.000000
a:@0.265791:0.486900:0.271025:0.486900:0.271025:0.477299:0.265791:0.477299:0.000000
3:@0.240885:0.509529:0.249381:0.509529:0.249381:0.493032:0.240885:0.493032:0.000000
a:@0.249476:0.503245:0.254710:0.503245:0.254710:0.493644:0.249476:0.493644:0.000000
2:@0.375992:0.664169:0.384488:0.664169:0.384488:0.647671:0.375992:0.647671:0.000000
1 – :@0.346477:0.680507:0.373757:0.680507:0.373757:0.664010:0.346477:0.664010:0.000000:0.000000:0.000000:0.000000
log:@0.373757:0.680623:0.393619:0.680623:0.393619:0.664154:0.373757:0.664154:0.000000:0.000000:0.000000
(3):@0.393619:0.680507:0.414021:0.680507:0.414021:0.664010:0.393619:0.664010:0.000000:0.000000:0.000000
2:@0.160546:0.723341:0.169042:0.723341:0.169042:0.706843:0.160546:0.706843:0.000000
3:@0.160546:0.739680:0.169042:0.739680:0.169042:0.723182:0.160546:0.723182:0.000000
2:@0.208032:0.799758:0.216528:0.799758:0.216528:0.783261:0.208032:0.783261:0.000000
3:@0.208032:0.816097:0.216528:0.816097:0.216528:0.799599:0.208032:0.799599:0.000000
2:@0.235560:0.823909:0.240657:0.823909:0.240657:0.814010:0.235560:0.814010:0.000000
3:@0.235560:0.833712:0.240657:0.833712:0.240657:0.823813:0.235560:0.823813:0.000000
2:@0.239121:0.855588:0.244219:0.855588:0.244219:0.845689:0.239121:0.845689:0.000000
3:@0.239121:0.865391:0.244219:0.865391:0.244219:0.855492:0.239121:0.855492:0.000000
1:@0.231316:0.894820:0.239812:0.894820:0.239812:0.878323:0.231316:0.878323:0.000000
4:@0.231316:0.911159:0.239812:0.911159:0.239812:0.894661:0.231316:0.894661:0.000000
Competencia :@0.684804:0.786688:0.782426:0.786688:0.782426:0.771215:0.684804:0.771215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.684804:0.799256:0.795179:0.799256:0.795179:0.783783:0.684804:0.783783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un hábito positivo se :@0.685042:0.823729:0.827485:0.823729:0.827485:0.808666:0.685042:0.808666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llama virtud, un hábito negativo :@0.638498:0.839571:0.849242:0.839571:0.849242:0.824508:0.638498:0.824508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se llama defecto. Encamina tus :@0.638498:0.855413:0.840815:0.855413:0.840815:0.840350:0.638498:0.840350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acciones para formar hábitos :@0.638498:0.871255:0.829544:0.871255:0.829544:0.856192:0.638498:0.856192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivos y tu vida será más feliz.:@0.638498:0.887097:0.846585:0.887097:0.846585:0.872034:0.638498:0.872034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.638498:0.913949:0.705288:0.913949:0.705288:0.898688:0.638498:0.898688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué piensas sobre :@0.705288:0.913751:0.835821:0.913751:0.835821:0.898688:0.705288:0.898688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esto? :@0.638498:0.929593:0.674611:0.929593:0.674611:0.914530:0.638498:0.914530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debate:@0.674611:0.929791:0.723421:0.929791:0.723421:0.914530:0.674611:0.914530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con tus compa-:@0.723423:0.929593:0.829772:0.929593:0.829772:0.914530:0.723423:0.914530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ñeros.:@0.638498:0.945435:0.676669:0.945435:0.676669:0.930372:0.638498:0.930372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
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