JAMB - Mathematics (2008 - No. 8)
If log\(_{x^{\frac{1}{2}}}\)64 = 3, find the value of x
4
16
32
64
Explication
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
(X\(^{\frac{1}{2}})^3\) = 64
(X\(^{\frac{1}{2}})^3\) = 4\(^3\)
X\(^{\frac{1}{2}}\) = 4
X = 4\(^2\)
X = 16