How do I find the logarithm log_(2/3)(8/27)?

$\textcolor{red}{3}$
(1)${\log}_{a} {X}^{n} = n {\log}_{a} X$
(2)${\log}_{a} a = 1$
${\log}_{\frac{2}{3}} \left(\frac{8}{27}\right) = {\log}_{\frac{2}{3}} \left({2}^{3} / {3}^{3}\right) = {\log}_{\frac{2}{3}} {\left(\frac{2}{3}\right)}^{\textcolor{red}{3}}$ [Applying(1), for n=3]
$= \left(3\right) \cdot {\log}_{\textcolor{red}{\left(\frac{2}{3}\right)}} \left(\frac{2}{3}\right) = 3 \left(1\right) = 3$, [Applying(2) for $a = \frac{2}{3}$ ]