Answer
$x \approx 3.66$
Work Step by Step
RECALL:
$\ln{e^m}=m$
Take the natural logarithm of both sides to obtain:
$\ln{e^{0.7x}}=\ln{13}$
Use the rule above to obtain:
$0.7x=\ln{13}$
Divide both sides by $0.7$ to obtain:
$x = \dfrac{\ln{13}}{0.7}$
Use a scientific calculator to obtain:
$x=3.664213368
\\x \approx 3.66$