Question

Jika log2=a dan log3=b, maka tentukan bentuk logaritma berikut dalam a dan b
a.logV30
b. 6log1,25

ket :
V = akar

Answer 1

Verified answer

Jawab

log 2 = a
log 3 = b

a. log √30 = log (3)^(1/2)
= 1/2 ( log 30)
= 1/2 ( log 10  + log 3)
= 1/2 (1 + b)

b. ⁶ log 1,25 = log 1,25 /log 6
= (log 125 - log 100) / log 2  + log 3
= (log 5³ - 2 ) /(a + b)
= 3. (log 10 - log 2)  - 2  / (a + b)
= 3 (1 - a)  - 2 / (a + b)
= 3 - 3a - 2 / (a + b)
= (1 - 3 a) /(a + b)