a) Log 27
b) Log 14
c) Log 28
d) Log 31,5
e) Log 1/4
Diketahui log2=0,3010,log 3=0,4771 dan log 7= 0,8451 tentukan
Jawab:
Penjelasan dengan langkah-langkah:
a) log 27 = log 3^3 = 3 log 3 = 3 (0,4771) = 1,4313
b) log 14 = log(2×7) = log 2 + log 7 = 0,3010 + 0,8451 = 1,1461
c) log 28 = log (4×7) = log 2^2 + log 7 = 2 log 2 + log 7
= 2(0,3010) + 0,8451 = 1,4471
d) log 31,5 = log (315/10) = log ((15×21)/10) = log 5+log3+log7+log 3 – log 10
= log 5 + 2log 3+ log 7 – log 10
= log 5 + 2(0,4771)+ (0,8451) – 1
= log 5 + 0,7993
d) log 1/4 = log 25- log 100 = 2 log 5 – 2 = 2(log 5-1) = 2(0,6989-1)=
= -0,602