Do the following operations and simplify the result:

$\displaystyle log_{a}(x^2-4)-log_{a}(x-2) =$

$\displaystyle log_{a} \frac {(x^2-4)}{(x-2)} =$

$\displaystyle log_{a} \frac {(x-2)(x+2)}{(x-2)} =$

$\displaystyle log_{a} (x+2)$

Can I go any further than this?