Given that logx 64 = 3, evaluate x log8

A. 6
B. 9
C. 12
D. 24

Correct Answer: Option C

Explanation

If logx 64 = 3, then 64 = x³

4³ = x³

Since the indices are equal,

x = 4

Hence, x log28 = log28x

= log284

= log2(2³)4

= log2212

= 12log2² = 12 x 1

= 12