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If log\(_{x^{\frac{1}{2}}}\)64  = 3, find the value of x

Mathematics
JAMB 2008

If log\(_{x^{\frac{1}{2}}}\)64  = 3, find the value of x

  • A. 4
  • B. 16
  • C. 32
  • D. 64
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Correct Answer: Option B
Explanation

If  log\(_{x^{\frac{1}{2}}}\)64 = 3
(X\(^{\frac{1}{2}})^3\) = 64
(X\(^{\frac{1}{2}})^3\) = 4\(^3\)
X\(^{\frac{1}{2}}\) = 4
X = 4\(^2\)
X = 16

There is an explanation video available below.


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Explanation Video

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