A3. The solution to the equation $\left(\frac{1}{3}\right)^{2 x+5}=\sqrt{9^{6 x-3}}$ is:
(A) $x=-\frac{1}{2}$
(B) $x=-\frac{1}{4}$
(C) $x=\frac{1}{4}$
(D) $x=\frac{1}{2}$
(E) $x=1$

![](https://cdn.mathpix.com/cropped/2024_06_07_ce887fced8b2a2bf0894g-06.jpg?height=429&width=417&top_left_y=1573&top_left_x=1505)
A3. We rewrite the equation as $3^{-2 x-5}=3^{6 x-3}$, so $-2 x-5=6 x-3$, from which $x=-\frac{1}{4}$.