Answer
$= \log (4\sqrt {\frac{a}{b}})$
Work Step by Step
$= \log 4 + \frac{1}{2} \log a - \frac{1}{2} \log b$
$= \log 4 + \log \sqrt a - \log \sqrt b$
$= \log 4 + \log \frac{\sqrt a}{\sqrt b}$
$= \log( 4\sqrt {\frac{a}{b}})$
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