43:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000 f) :@0.547486:0.172748:0.564310:0.172748:0.564310:0.155847:0.547486:0.155847:0.000000:0.000000:0.000000 x:@0.580729:0.172748:0.588193:0.172748:0.588193:0.156387:0.580729:0.156387:0.000000 = log 24 :@0.588193:0.172748:0.678324:0.172748:0.678324:0.156359:0.588193:0.156359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.630982:0.173426:0.661240:0.173426:0.661240:0.157853:0.630982:0.157853:0.000000:0.000000:0.000000 :@0.547488:0.286627:0.551302:0.286627:0.551302:0.269726:0.547488:0.269726:0.000000 g) :@0.547486:0.320937:0.567406:0.320937:0.567406:0.304037:0.547486:0.304037:0.000000:0.000000:0.000000 x:@0.580729:0.320937:0.588193:0.320937:0.588193:0.304576:0.580729:0.304576:0.000000 = log :@0.588193:0.320937:0.635017:0.320937:0.635017:0.304548:0.588193:0.304548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 36:@0.642799:0.310301:0.660784:0.310301:0.660784:0.293912:0.642799:0.293912:0.000000:0.000000 25:@0.642799:0.332512:0.660784:0.332512:0.660784:0.316123:0.642799:0.316123:0.000000:0.000000 :@0.669169:0.320936:0.686248:0.320937:0.686248:0.304548:0.669169:0.304547:0.000000:0.000000:0.000000 :@0.547488:0.449075:0.551302:0.449075:0.551302:0.432175:0.547488:0.432175:0.000000 h) :@0.547486:0.482125:0.567388:0.482125:0.567388:0.465224:0.547486:0.465224:0.000000:0.000000:0.000000 x:@0.580729:0.482125:0.588193:0.482125:0.588193:0.465763:0.580729:0.465763:0.000000 = log :@0.588193:0.482125:0.635017:0.482125:0.635017:0.465736:0.588193:0.465736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 23 5⁷:@0.642799:0.472745:0.689107:0.472745:0.689107:0.456356:0.642799:0.456356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ×:@0.660968:0.473423:0.671085:0.473423:0.671085:0.457850:0.660968:0.457850:0.000000 3:@0.642799:0.494957:0.671970:0.494957:0.671970:0.478568:0.642799:0.478568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.699408:0.482122:0.716487:0.482125:0.716487:0.465736:0.699408:0.465733:0.000000:0.000000:0.000000 :@0.547488:0.606694:0.551302:0.606694:0.551302:0.589794:0.547488:0.589794:0.000000 i) :@0.547486:0.632201:0.561565:0.632201:0.561565:0.615300:0.547486:0.615300:0.000000:0.000000:0.000000 x:@0.580729:0.632201:0.588193:0.632201:0.588193:0.615840:0.580729:0.615840:0.000000 = log 48 :@0.588193:0.632201:0.678324:0.632201:0.678324:0.615812:0.588193:0.615812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.630982:0.632879:0.661240:0.632879:0.661240:0.617306:0.630982:0.617306:0.000000:0.000000:0.000000 :@0.547488:0.749648:0.551302:0.749648:0.551302:0.732747:0.547488:0.732747:0.000000 j) :@0.547486:0.782698:0.561823:0.782698:0.561823:0.765797:0.547486:0.765797:0.000000:0.000000:0.000000 x:@0.580729:0.782698:0.588193:0.782698:0.588193:0.766336:0.580729:0.766336:0.000000 = log:@0.588193:0.782698:0.630982:0.782698:0.630982:0.766309:0.588193:0.766309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.630982:0.783375:0.635588:0.783375:0.635588:0.767802:0.630982:0.767802:0.000000 26 :@0.640552:0.773318:0.663384:0.773318:0.663384:0.756929:0.640552:0.756929:0.000000:0.000000:0.000000:0.000000 16:@0.640552:0.795530:0.658538:0.795530:0.658538:0.779141:0.640552:0.779141:0.000000:0.000000 :@0.669742:0.782695:0.686819:0.782698:0.686819:0.766309:0.669742:0.766306:0.000000:0.000000:0.000000 :@0.547488:0.910834:0.551302:0.910834:0.551302:0.893933:0.547488:0.893933:0.000000 1. :@0.119958:0.172018:0.138699:0.172018:0.138699:0.154882:0.119958:0.154882:0.000000:0.000000:0.000000 Se conocen los valores de log 5 0,698 9, :@0.153202:0.172018:0.495451:0.172018:0.495451:0.155629:0.153202:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.387472:0.172695:0.408738:0.172695:0.408738:0.157122:0.387472:0.157122:0.000000:0.000000:0.000000 log 3 0,477 12 y log 2 0,301 03. :@0.153200:0.188614:0.435540:0.188614:0.435540:0.172225:0.153200:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.176935:0.189292:0.198200:0.189292:0.198200:0.173719:0.176935:0.173719:0.000000:0.000000:0.000000 ( ):@0.327442:0.189292:0.348707:0.189292:0.348707:0.173719:0.327442:0.173719:0.000000:0.000000:0.000000 Calcula:@0.435964:0.188614:0.491394:0.188614:0.491394:0.171990:0.435964:0.171990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.491394:0.188614:0.495430:0.188614:0.495430:0.172225:0.491394:0.172225:0.000000 el valor aproximado en cada caso con cuatro :@0.153191:0.205210:0.495391:0.205210:0.495391:0.188821:0.153191:0.188821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cifras decimales.:@0.153191:0.221807:0.272011:0.221807:0.272011:0.205418:0.153191:0.205418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153191:0.245526:0.171914:0.245526:0.171914:0.228625:0.153191:0.228625:0.000000:0.000000:0.000000 x:@0.186435:0.245526:0.193898:0.245526:0.193898:0.229164:0.186435:0.229164:0.000000 = log 100 :@0.193898:0.245526:0.297064:0.245531:0.297064:0.229142:0.193898:0.229137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.236687:0.246203:0.242823:0.246203:0.242823:0.230630:0.236687:0.230630:0.000000 ):@0.269802:0.246203:0.275938:0.246203:0.275938:0.230630:0.269802:0.230630:0.000000 :@0.153200:0.362978:0.157014:0.362978:0.157014:0.346077:0.153200:0.346077:0.000000 :@0.493238:0.362974:0.497053:0.362974:0.497053:0.346073:0.493238:0.346073:0.000000 b) :@0.153193:0.386693:0.173224:0.386693:0.173224:0.369792:0.153193:0.369792:0.000000:0.000000:0.000000 x:@0.186437:0.386693:0.193900:0.386693:0.193900:0.370332:0.186437:0.370332:0.000000 = log 50 :@0.193900:0.386693:0.284036:0.386698:0.284036:0.370309:0.193900:0.370304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.236689:0.387371:0.266947:0.387371:0.266947:0.371798:0.236689:0.371798:0.000000:0.000000:0.000000 :@0.153200:0.504145:0.157014:0.504145:0.157014:0.487244:0.153200:0.487244:0.000000 c) :@0.153198:0.527865:0.170833:0.527865:0.170833:0.510965:0.153198:0.510965:0.000000:0.000000:0.000000 x:@0.186442:0.527865:0.193905:0.527865:0.193905:0.511504:0.186442:0.511504:0.000000 = log 30 :@0.193905:0.527865:0.284036:0.527865:0.284036:0.511476:0.193905:0.511476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.236694:0.528543:0.266952:0.528543:0.266952:0.512970:0.236694:0.512970:0.000000:0.000000:0.000000 :@0.153200:0.641744:0.157014:0.641744:0.157014:0.624843:0.153200:0.624843:0.000000 d) :@0.153198:0.661905:0.173266:0.661905:0.173266:0.645004:0.153198:0.645004:0.000000:0.000000:0.000000 x:@0.186442:0.661905:0.193905:0.661905:0.193905:0.645544:0.186442:0.645544:0.000000 = log 40 :@0.193905:0.661905:0.284036:0.661905:0.284036:0.645516:0.193905:0.645516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.236694:0.662583:0.266952:0.662583:0.266952:0.647010:0.236694:0.647010:0.000000:0.000000:0.000000 :@0.153200:0.775784:0.157014:0.775784:0.157014:0.758883:0.153200:0.758883:0.000000 e) :@0.153198:0.795944:0.172068:0.795944:0.172068:0.779044:0.153198:0.779044:0.000000:0.000000:0.000000 x:@0.186442:0.795944:0.193905:0.795944:0.193905:0.779583:0.186442:0.779583:0.000000 = log 10 :@0.193905:0.795944:0.284036:0.795944:0.284036:0.779556:0.193905:0.779556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.236694:0.796622:0.266952:0.796622:0.266952:0.781049:0.236694:0.781049:0.000000:0.000000:0.000000 :@0.153200:0.909823:0.157014:0.909823:0.157014:0.892923:0.153200:0.892923:0.000000 Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Concibe la función logarítmica como inversa de la función exponencial; aplica propiedades de los logaritmos y halla su dominio, :@0.261615:0.108245:0.882497:0.108245:0.882497:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 recorrido, asíntotas, intersecciones con los ejes; las aplica en situaciones reales e hipotéticas, con y sin apoyo de la tecnología. :@0.261615:0.118806:0.882494:0.118806:0.882494:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.879892:0.118806:0.882460:0.118806:0.882460:0.108377:0.879892:0.108377:0.000000 (I.3.) (Ref. I.M.5.3.5.):@0.261615:0.129367:0.346855:0.129367:0.346855:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,602:@0.606753:0.824343:0.645930:0.824343:0.645930:0.807954:0.606753:0.807954:0.000000:0.000000:0.000000:0.000000:0.000000 1,681 2:@0.606753:0.663372:0.658958:0.663372:0.658958:0.646983:0.606753:0.646983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1,477 1:@0.204606:0.555302:0.256812:0.555302:0.256812:0.538913:0.204606:0.538913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.204606:0.276829:0.213599:0.276829:0.213599:0.260440:0.204606:0.260440:0.000000 1,689 9:@0.204606:0.416667:0.256812:0.416667:0.256812:0.400278:0.204606:0.400278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1,602 1:@0.204606:0.688433:0.256812:0.688433:0.256812:0.672044:0.204606:0.672044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.204606:0.822822:0.213599:0.822822:0.213599:0.806433:0.204606:0.806433:0.000000 1,380 2:@0.602920:0.200333:0.655125:0.200333:0.655125:0.183944:0.602920:0.183944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,158 4:@0.602920:0.361927:0.655125:0.361927:0.655125:0.345538:0.602920:0.345538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5,318 8:@0.602920:0.520311:0.655125:0.520311:0.655125:0.503922:0.602920:0.503922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000