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
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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