If 92x = \(\frac{1}{3}\)(27x), find x

If 9^2x = \(\frac{1}{3}\)(27^x), find x

Correct Answer: Option C

Explanation:
9^2x = \(\frac{1}{3}\)(27^x)
(2²)^2x = \(\frac{(3^{3x})}{3}\)
(3^4x) = 3^{3x - 1}
4x = 3x - 1
4x - 3x = -1
x = -1