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If logX frac 1 2 64 3 find the value of x - JAMB Mathematics 2008 Question

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