### Home > PC > Chapter 3 > Lesson 3.1.1 > Problem3-10

3-10.

Solve using powers of the same base.

1. $9 ^ { x } = \frac { 3 } { 3 ^ { x } }$

$(3^{2})^x = 3^1 \cdot 3^{-x}$

$3^{2x} = 3^{1-x}$

$2x = 1 -x$

$x = \frac{1}{3}$

1. $25 ^ { x } = \sqrt [ 5 ] { 5 ^ { x } }$

Follow the same thinking process as shown in part (a).