Answer
$x \approx 24.76$
Work Step by Step
Divide 1250 on both sides of the equation to obtain:
$e^{0.065x}=5$
RECALL:
$\ln{e^m}=m$
Take the natural logarithm of both sides to obtain:
$\ln{e^{0.065x}}=\ln{5}$
Use the rule above to obtain:
$0.065x=\ln{5}$
Divide both sides by $0.065$ to obtain:
$x = \dfrac{\ln{5}}{0.065}$
Use a scientific calculator to obtain:
$x=24.76058327
\\x \approx 24.76$