Use logarithm rules to rewrite each expression in terms of $\displaystyle log_{3}2$ and $\displaystyle log_{3}5$

Here's what I did... but I think I didn't do them right... please help?

a) $\displaystyle log_3{270}$

$\displaystyle = log_3{2^{7}} + log_3{5^{3}} + 17$

b) $\displaystyle log_3{\frac{64}{125}}$

$\displaystyle = log_3{64} - log_3{125}$

$\displaystyle = log_3{2^{6}} - log_3{5^{3}}$

$\displaystyle = 6log_3{2} - 3log_3{5}$