Given that log\(_x\)64 = 3, evaluate x log\(_2\)8
MATHEMATICS
WAEC 2015
Given that log\(_x\)64 = 3, evaluate x log\(_2\)8
- A. 6
- B. 9
- C. 12
- D. 24
Correct Answer: C. 12
Explanation
If logx 64 = 3, then \(64 = x^3\)
\(4^3 = x^3\)
Since the indices are equal,
x = 4
Hence, x log\(_2\)8
= 4(3.log\(_2\)2)
= where log\(_2\)2 = 1(1)
= 12 X 1
= 12
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