Answer
$\approx 4.744$
Work Step by Step
$= \log_{4.5} (1256)$
Since the base of the $\log$ function is not $10$, then the change of base formula is required before evaluating by calculator:
$= \frac{\log 1256}{\log 4.5}$
by GDC / calculator
$= 4.74422...$
$\approx 4.744$