Diketahui log2=0,3010,log 3=0,4771 dan log 7= 0,8451 tentukan

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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