Answer
$x=2.48$
Work Step by Step
Divide both sides by $9$. Then make each side a natural log, and pull down the exponent on the left side. Then divide to solve for $x$.
$9e^x=107$
$e^x=\frac{107}{9}$
$x\ln(e)=\ln(\frac{107}{9})$
$x=\frac{\ln(\frac{107}{9})}{\ln(e)}$
$x=2.48$