Question

Jika log 2= 0,3010
log 3 = 0,4771
hitung :
a. log 75/4
b. log

Answer 1

A.
log 75/4
= log 25 . 3 - log 4
= log 5² + log 3 - log 2²
= 2 log 5 + log 3 - 2 log 2
= 2 log (10/2) + log 3 - 2 log 2
= 2 [log 10 - log 2] + log 3 - 2 log 2
= 2 [ 1 - 0,3010] + 0,4771 - 2 . 0,3010
= 2 [ 0,6990] + 0,4771 - 0,6020
= 1,3980 + 0,4771 - 0,6020
= 1,8751 - 0,6020
= 1,2731

b.
log 
= log 72 ^ 1/4
= 1/4 log 72
= 1/4 log (8x9)
= 1/4 [ log 8 + log 9]
= 1/4 [log 2³ + log 3²]
= 1/4 [3 log 2 + 2 log 3]
= 1/4 [3 . 0,3010 + 2 . 0,4771]
= 1/4 [0,9030 + 0,9542]
= 1/4 [1,8572]
= 0,4643