#### Answer

$x \approx 1.30$

#### Work Step by Step

Divide $3$ on both sides of the equation to obtain:
$e^{5x}=659$
RECALL:
$\ln{e^m}=m$
Take the natural logarithm of both sides to obtain:
$\ln{e^{5x}}=\ln{659}$
Use the rule above to obtain:
$5x=\ln{659}$
Divide both sides by $5$ to obtain:
$x = \dfrac{\ln{659}}{5}$
Use a scientific calculator to obtain:
$x=1.298144707
\\x \approx 1.30$