# How do you solve 3 * 5^(x-1) + 5^x = 0.32?

##### 1 Answer
May 15, 2016

$x = - 1$

#### Explanation:

The equation can be written as $\frac{3}{5} {5}^{x} + {5}^{x} = \left(\frac{3}{5} + 1\right) {5}^{x} = 0.32$
arriving at ${5}^{x} = 0.2 = {5}^{- 1}$ then equating exponents $x = - 1$