Question

2 log 3 = m dan 5 log 2 = n,, maka nilai dari 12 log 50 adalah
A.mn+2/2m+n
B. Mn+2/n+2n
C. N+2/mn+2
D. N+2/mn+2n
E. Mn+2/mn+2n

Answer 1

12log50 = ²log(2 x 5²)/²log(2² x 3)
= (²log2 + 2x²log5)/(2x²log2 + ²log3)
= (1 + 2/n) / (2 + m )
= (n+2) / n(2+m)
= (n+2) / (2n+mn)
jawaban : D