# How do you expand log_9(vw^5sqrtu)?

$\setminus {\log}_{9} \left(v {w}^{5} \setminus \sqrt{u}\right)$
$= \setminus {\log}_{9} \left(v {w}^{5} {u}^{\frac{1}{2}}\right)$
$= \setminus {\log}_{9} v + \setminus {\log}_{w}^{5} + \setminus {\log}_{9} {u}^{\frac{1}{2}}$
$= \setminus {\log}_{9} v + 5 \setminus {\log}_{9} w + \frac{1}{2} \setminus {\log}_{9} u$
$\setminus \forall \setminus \setminus u , v , w > 0$