Answer
$\approx -0.446$
Work Step by Step
$= \log_6 0.45$
Since the base of the $\log$ function is not $10$, then the change of base formula is required before evaluating by calculator:
$= \frac{\log 0.45}{\log 6}$
by GDC / calculator
$= -0.445655...$
$\approx -0.446$