40:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números naturales:@0.073089:0.043661:0.242487:0.043661:0.242487:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Calcula el valor de en las siguientes expresiones: :@0.073089:0.136836:0.482919:0.136836:0.482919:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.243993:0.136836:0.252110:0.136836:0.252110:0.120153:0.243993:0.120153:0.000000 a. log 3:@0.104633:0.164199:0.201771:0.164199:0.201771:0.147766:0.104633:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.158302:0.167372:0.163538:0.167372:0.163538:0.157791:0.158302:0.157791:0.000000 x:@0.165711:0.164199:0.173166:0.164199:0.173166:0.147793:0.165711:0.147793:0.000000 5:@0.175320:0.163645:0.190653:0.163645:0.190653:0.149929:0.175320:0.149929:0.000000 b. log 1:@0.104633:0.191563:0.201771:0.191563:0.201771:0.175129:0.104633:0.175129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.158302:0.194735:0.163538:0.194735:0.163538:0.185154:0.158302:0.185154:0.000000 x:@0.165711:0.191563:0.173166:0.191563:0.173166:0.175157:0.165711:0.175157:0.000000 5:@0.175320:0.191008:0.190653:0.191008:0.190653:0.177292:0.175320:0.177292:0.000000 c. log 3 :@0.104633:0.218926:0.210901:0.218926:0.210901:0.202492:0.104633:0.202492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10:@0.158302:0.222098:0.168732:0.222098:0.168732:0.212517:0.158302:0.212517:0.000000:0.000000 x:@0.170902:0.218926:0.178357:0.218926:0.178357:0.202520:0.170902:0.202520:0.000000 5 :@0.180511:0.218371:0.200354:0.218371:0.200354:0.204655:0.180511:0.204655:0.000000:0.000000 d. log =3:@0.104633:0.246289:0.195208:0.246289:0.195208:0.229855:0.104633:0.229855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.158302:0.249461:0.163538:0.249461:0.163538:0.239880:0.158302:0.239880:0.000000 x:@0.165711:0.246289:0.173166:0.246289:0.173166:0.229883:0.165711:0.229883:0.000000 e. log 4:@0.104633:0.273652:0.201771:0.273652:0.201771:0.257218:0.104633:0.257218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.158302:0.276825:0.163538:0.276825:0.163538:0.267244:0.158302:0.267244:0.000000 x:@0.165711:0.273652:0.173166:0.273652:0.173166:0.257246:0.165711:0.257246:0.000000 5:@0.175320:0.273098:0.190653:0.273098:0.190653:0.259382:0.175320:0.259382:0.000000 f. :@0.104633:0.301015:0.115972:0.301015:0.115972:0.284582:0.104633:0.284582:0.000000:0.000000:0.000000 log 3:@0.134834:0.301015:0.201771:0.301015:0.201771:0.284582:0.134834:0.284582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.158302:0.304188:0.163538:0.304188:0.163538:0.294607:0.158302:0.294607:0.000000 x:@0.165711:0.301015:0.173166:0.301015:0.173166:0.284609:0.165711:0.284609:0.000000 5:@0.175320:0.300461:0.190653:0.300461:0.190653:0.286745:0.175320:0.286745:0.000000 g. log 27 3:@0.104633:0.328379:0.211554:0.328379:0.211554:0.311945:0.104633:0.311945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.158302:0.331551:0.162905:0.331551:0.162905:0.321970:0.158302:0.321970:0.000000 5:@0.185103:0.327824:0.200436:0.327824:0.200436:0.314108:0.185103:0.314108:0.000000 h. log 16 4:@0.104633:0.355742:0.211554:0.355742:0.211554:0.339308:0.104633:0.339308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.158302:0.358914:0.162905:0.358914:0.162905:0.349333:0.158302:0.349333:0.000000 5:@0.185103:0.355187:0.200436:0.355187:0.200436:0.341472:0.185103:0.341472:0.000000 i. :@0.104633:0.383105:0.115567:0.383105:0.115567:0.366671:0.104633:0.366671:0.000000:0.000000:0.000000 log 81 2 :@0.134834:0.383105:0.215511:0.383105:0.215511:0.366671:0.134834:0.366671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.158302:0.386278:0.162905:0.386278:0.162905:0.376696:0.158302:0.376696:0.000000 5:@0.185103:0.382550:0.200436:0.382550:0.200436:0.368835:0.185103:0.368835:0.000000 2. Determina el valor de en cada una de las igualdades dadas.:@0.073089:0.410467:0.563153:0.410467:0.563153:0.393797:0.073089:0.393797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.270076:0.410467:0.279906:0.410467:0.279906:0.393784:0.270076:0.393784:0.000000 a. 3 243:@0.104633:0.437830:0.195931:0.437830:0.195931:0.421396:0.104633:0.421396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.143736:0.431766:0.149488:0.431766:0.149488:0.422185:0.143736:0.422185:0.000000 5:@0.151662:0.437276:0.166995:0.437276:0.166995:0.423560:0.151662:0.423560:0.000000 b. 2 512:@0.104633:0.465193:0.195931:0.465193:0.195931:0.448760:0.104633:0.448760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.143736:0.459130:0.149488:0.459130:0.149488:0.449549:0.143736:0.449549:0.000000 5:@0.151662:0.464639:0.166995:0.464639:0.166995:0.450923:0.151662:0.450923:0.000000 c. 5 625 :@0.104633:0.492557:0.199889:0.492557:0.199889:0.476123:0.104633:0.476123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.143736:0.486493:0.149488:0.486493:0.149488:0.476912:0.143736:0.476912:0.000000 5:@0.151662:0.492002:0.166995:0.492002:0.166995:0.478286:0.151662:0.478286:0.000000 d. 7 49:@0.104633:0.519920:0.187022:0.519920:0.187022:0.503486:0.104633:0.503486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.143736:0.513856:0.149488:0.513856:0.149488:0.504275:0.143736:0.504275:0.000000 5:@0.151662:0.519365:0.166995:0.519365:0.166995:0.505650:0.151662:0.505650:0.000000 e. 4 2 048:@0.104633:0.547283:0.207067:0.547283:0.207067:0.530849:0.104633:0.530849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.143736:0.541219:0.149488:0.541219:0.149488:0.531638:0.143736:0.531638:0.000000 5:@0.151662:0.546728:0.166995:0.546728:0.166995:0.533013:0.151662:0.533013:0.000000 f. :@0.104633:0.574646:0.115972:0.574646:0.115972:0.558213:0.104633:0.558213:0.000000:0.000000:0.000000 10 10 000 :@0.134834:0.574646:0.228836:0.574646:0.228836:0.558213:0.134834:0.558213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.152639:0.568583:0.158391:0.568583:0.158391:0.559001:0.152639:0.559001:0.000000 5:@0.160564:0.574092:0.175897:0.574092:0.175897:0.560376:0.160564:0.560376:0.000000 3. Expresa las propiedades de los logaritmos según el logaritmo dado, sea el logaritmo de un producto o de un :@0.073089:0.602010:0.931278:0.602010:0.931278:0.585340:0.073089:0.585340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cociente.:@0.103214:0.618651:0.171562:0.618651:0.171562:0.601982:0.103214:0.601982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. log 16 32:@0.104633:0.646015:0.222827:0.646015:0.222827:0.629581:0.104633:0.629581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.158302:0.649187:0.163538:0.649187:0.163538:0.639606:0.158302:0.639606:0.000000 3:@0.187467:0.645460:0.202800:0.645460:0.202800:0.631744:0.187467:0.631744:0.000000 b. log 25 125:@0.104633:0.673378:0.231736:0.673378:0.231736:0.656944:0.104633:0.656944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.158302:0.676550:0.163538:0.676550:0.163538:0.666969:0.158302:0.666969:0.000000 3:@0.187467:0.672823:0.202800:0.672823:0.202800:0.659107:0.187467:0.659107:0.000000 c. log 49 343 :@0.104633:0.700741:0.237498:0.700741:0.237498:0.684307:0.104633:0.684307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.158302:0.703913:0.163538:0.703913:0.163538:0.694332:0.158302:0.694332:0.000000 3:@0.187467:0.700186:0.202800:0.700186:0.202800:0.686471:0.187467:0.686471:0.000000 d. log 1 024 64:@0.104633:0.728104:0.242851:0.728104:0.242851:0.711670:0.104633:0.711670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.158302:0.731277:0.163538:0.731277:0.163538:0.721696:0.158302:0.721696:0.000000 4:@0.207491:0.727549:0.222824:0.727549:0.222824:0.713834:0.207491:0.713834:0.000000 e. log 2 187 729 :@0.104633:0.755467:0.255791:0.755467:0.255791:0.739034:0.104633:0.739034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.158302:0.758640:0.163538:0.758640:0.163538:0.749059:0.158302:0.749059:0.000000 4:@0.207491:0.754913:0.222824:0.754913:0.222824:0.741197:0.207491:0.741197:0.000000 4. Escribe en forma logarítmica las siguientes expresiones dadas en forma exponencial.:@0.073089:0.782831:0.748701:0.782831:0.748701:0.766161:0.073089:0.766161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 5 125:@0.104633:0.810194:0.195417:0.810194:0.195417:0.793760:0.104633:0.793760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.143736:0.804130:0.148973:0.804130:0.148973:0.794549:0.143736:0.794549:0.000000 5:@0.151146:0.809639:0.166479:0.809639:0.166479:0.795923:0.151146:0.795923:0.000000 b. 2 64:@0.104633:0.837557:0.188237:0.837557:0.188237:0.821123:0.104633:0.821123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.143736:0.831493:0.148973:0.831493:0.148973:0.821912:0.143736:0.821912:0.000000 5:@0.151146:0.837002:0.166479:0.837002:0.166479:0.823287:0.151146:0.823287:0.000000 c. 10:@0.104633:0.864919:0.152726:0.864919:0.152726:0.848485:0.104633:0.848485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4 :@0.152639:0.858855:0.160183:0.858855:0.160183:0.849274:0.152639:0.849274:0.000000:0.000000 5:@0.159123:0.864364:0.174456:0.864364:0.174456:0.850649:0.159123:0.850649:0.000000 10 000 :@0.174364:0.864919:0.227469:0.864919:0.227469:0.848485:0.174364:0.848485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 7 343:@0.104633:0.892282:0.195417:0.892282:0.195417:0.875848:0.104633:0.875848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.143736:0.886218:0.148973:0.886218:0.148973:0.876637:0.143736:0.876637:0.000000 5:@0.151146:0.891727:0.166479:0.891727:0.166479:0.878012:0.151146:0.878012:0.000000 e. 3 81:@0.104633:0.919646:0.186508:0.919646:0.186508:0.903212:0.104633:0.903212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.143736:0.913582:0.148973:0.913582:0.148973:0.904001:0.143736:0.904001:0.000000 5:@0.151146:0.919091:0.166479:0.919091:0.166479:0.905376:0.151146:0.905376:0.000000 f. :@0.104633:0.947009:0.115972:0.947009:0.115972:0.930575:0.104633:0.930575:0.000000:0.000000:0.000000 5 625 :@0.134834:0.947009:0.199448:0.947009:0.199448:0.930575:0.134834:0.930575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.143736:0.940945:0.148973:0.940945:0.148973:0.931364:0.143736:0.931364:0.000000 5:@0.151146:0.946454:0.166479:0.946454:0.166479:0.932739:0.151146:0.932739:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000