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
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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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