Answer
$\approx 2.523719$
Work Step by Step
RECALL:
Change -of-Base Formula
$\log_a{b} = \dfrac{\log{b}}{\log{a}}$
Use the change-of -base formula to obtain:
$=\dfrac{\log{16}}{\log{3}}$
Evaluate using a calculator. Round-off to six decimal places to obtain:
$\approx 2.523719$