Question on: JAMB Mathematics - 2008

If \(logX^{\frac{1}{2}}\) 64 = 3, find the value of x.
A
4
B
16
C
32
D
64
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Correct Option: B
\(logX^{\frac{1}{2}}\) 64 = 3, find the value of X

recall that X = 10p

log10X = P

64 = \(X^{\frac{1}{2}}\)

43 = \(X^{\frac{1}{2}}\)

\(4^{3 \times \frac{1}{2}}\) = \(X^{\frac{1}{2} \times \frac{1}{3}}\)

4 = \(X^{\frac{1}{2}}\)

(4)2 = \(X^{\frac{1}{2} \times 2}\)

x = 16

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