# How do you solve for x in 9e^x=107?

Sep 6, 2016

$x = 2.4756$

#### Explanation:

As $9 {e}^{x} = 107$

${e}^{x} = \frac{107}{9}$

Now taking natural log on both sides

$x = \ln 107 - \ln 9$

= $4.6728 - 2.1972$

= $2.4756$