# How do you solve -4(5^x)=-68?

Dec 1, 2015

I found: $x = 1.76037$

#### Explanation:

We can start rearranging our expression:
${5}^{x} = \frac{- 68}{- 4}$

${5}^{x} = 17$

take the natural log of both sides:

$\ln {5}^{x} = \ln 17$

use the property of logs: $\log {x}^{a} = a \log x$:
so:
$x \ln 5 = \ln 17$
so:
$x = \ln \frac{17}{\ln} \left(5\right) = 1.76037$