If log\(_{x^{\frac{1}{2}}}\)64 = 3, find the value of x
A
4
B
16
C
32
D
64
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #9264)