27.
Log 2 Log 3 Log 0 , 2 + + 7 5 3
2 log 0 , 75 + log 39 , 162 + co log 0 , 07 + co log 3 , 89 29. 15 (0 , 30103) + 21(0 , 47712) + 35 (1 , 30103) 2 = 105 2 (1 , 87506) + 1, 59286 + 1, 15490 + 1 , 41005 = 4 , 51545 + 10 , 01952 − 24 , 46395 2 = 105 1, 90793 = = 0 , 953965 = 8 , 99425 ≅ 8 , 9943 − 9 , 92898 2 = = − 0 , 094562 = 1 , 905438 105 Anti log 1 , 905438 = 0 , 8043369 ≅ 0 , 80434 3 log 0 , 2 + 2 log 0 , 3 + 4 co log 0 , 05 + co log 3 , 25 Log 32 ,14 Log 59 , 3 Co log 317, 6 30. 28. + + 2 2 3 4 + 3 1 30103 2 1 47712 , , ( ) ( ) + 4 (1, 30103) + 1 , 48812 6 (1, 50705) + 4 (1, 77305) + 3 (3 , 49812) = = 2 12 − 3 + 0 , 90309 − 2 + 0 , 95424 + 5 , 20412 − 1 + 0 , 48812 9 , 0423 + 7 , 0922 − 7 , 50564 = = 2 12 1 54957 , 8 , 62886 = = 0 , 774785 = = 0 , 71907 2 12 Anti log 0 , 774785 = 5 , 95366 Anti log 0 , 71907 = 5 , 2368483 ≅ 5 , 23685
EJERCICIO 300 2 2 1. 36 = 2 ⋅ 3 Log 36 = 2 log 2 + 2 log 3
= 2 (0 , 301030) + 2 (0 , 477121) = 0 , 60206 + 0 , 954242
Log 36 = 1, 556302 2. 75 = 3⋅ 5 Log 75 = log 3 + 2 log 5 2
= 0 , 477121 + 2 (0 , 698970)
= 0 , 477121 + 1, 39794 Log 75 = 1, 875061 3. 30 = 2 ⋅ 3 ⋅ 5 Log 30 = log 2 + log 3 + log 5 = 0 , 301030 + 0 , 477121+ 0 , 698970 Log 30 = 1, 477121 4 4. 48 = 2 ⋅ 3 Log 48 = 4 log 2 + log 3
= 4 (0 , 301030) + 0 , 477121
= 1, 20412 + 0 , 477121 Log 48 = 1, 681241 3 5. 120 = 2 ⋅ 3⋅ 5 Log 120 = 3 log 2 + log 3 + log 5
= 3(0 , 30103) + 0 , 477121 + 0 , 69897
= 0 , 90309 + 1,176091 Log 120 = 2 , 079181
2 6. 98 = 7 ⋅ 2 Log 98 = 2 log 7 + log 2
= 2 (0 , 845098) + 0 , 30103
= 1, 690196 + 0 , 30103 Log 98 = 1, 991226 3 7. 343 = 7 Log 343 = 3 log 7
= 3 (0 , 845098)
Log 343 = 2 , 535294 Log 0 , 343 = 1 , 535294 2 2 8. 225 = 5 ⋅ 3 Log 225 = 2 log 5 + 2 log 3
= 2 (0 , 69897) + 2 (0 , 477121) = 1 , 39794 + 0 , 954242 = 2 , 352182
Log 22 , 5 = 1, 352182 9. 196 = 2 2 ⋅ 7 2
Log 196 = 2 (log 2 + log 7)
= 2 (0 , 30103 + 0 , 845098) = 2 (1 , 146128)
= 2 , 292256 Log 1 , 96 = 0 , 292256