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Given that logx 64 = 3, evaluate x log8

Given that logx 64 = 3, evaluate x log8
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  • 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
= 1 log2 = 1(1)
= 12

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