Question

2 log 3 = m dan 5 log 2 = n, maka nilai dari 12 log 50 =.....

Answer 1

¹²log 50 = ²log 50 / ²log 12
= ²log(5²×2) /  ²log (2²×3)
= (²log 5² + ²log 2) / (²log 2² + ²log 3)
= (2.²log 5 + ²log 2) / (2.²log 2 + ²log 3)
= (2.(⁵log 5 / ⁵log 2) + ²log 2) / (2.²log 2 + ²log 3)
= (2.(1 / ⁵log 2) + ²log 2) / (2.²log 2 + ²log 3)
= (2.(1/n) + 1) / (2.1 + m)
= (2/n + 1) / (2 + m)
= ((2+n)/n) / (2 + m)
= (2+n) / n(2 + m)
= (2+n) / (2n + mn)
= (n+2) / (mn+2n)

(JAWABAN: D)