If 9\(^{(x - \frac{1}{2})} = 3^{x^2}\) Find the value of x
A
\(\frac{1}{2}\)
B
1
C
2
D
3
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
9(x - \(\frac{1}{2}\)) 3x2 = 3\(^{2(x - \frac{1}{2})}\) = 3\(^x{^2}\)
∴ 2(x - \(\frac{1}{2}\)) = x2
2x - 1 = x\(^2\)
hence x\(^2\) - 2x + 1 = 0
(x - 1)(x - 1) = 0
x = 1
Source: Myschool Past Questions Archive (Record #31130)