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Given that logx 64 3 evaluate x log8 - WAEC Mathematics 2015 Question

Given that logx 64 = 3, evaluate x log8
A
6
B
9
C
12
D
24
correct option: c

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

= 1 log2 = 1(1)

= 12

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