# How do you solve 6e^(9x)=1548?

Feb 5, 2016

I found $x = 0.617$

#### Explanation:

We can write it as:
${e}^{9 x} = \frac{1548}{6}$
${e}^{9 x} = 258$
let us take the natural log of both sides:
$\ln \left({e}^{9 x}\right) = \ln \left(258\right)$
$\ln$ and $e$ eliminate each othe and we get:
$9 x = \ln \left(258\right)$
$x = \frac{\ln \left(258\right)}{9} = 0.617$