Answer
$\approx 1.5937$
Work Step by Step
RECALL:
The change-of-base formula for logarithms:
$\log_a{b} = \dfrac{\log{b}}{\log{a}}$
Use the formula above to obtain:
$=\dfrac{\log{13}}{\log{5}}$
Use a calculator to evaluate to four decimal places:
$\approx 1.5937$