I am trying to brush up on logs and I am having a hard time finding some more challenging problems. Here is an example of one.

$\displaystyle ln\frac{{(2x+3)^5}{\sqrt{4-sinx}}}{{(9+e^{3x})}{(9-2x)^4}}$

I am looking to practice more problems like this one. For example, what would I do if I had a third root along with the 4-sinx?