I'm having a little trouble with this calculus problem I got for homework. I've been working on it for over an hour and haven't gotten anywhere with it.

Solve for x: ln(x) + ln(x-4) = 5

The best I could come up with was raising both sides to e to get rid of the natural logs, but then ended up with x^2 - 4x = e^5. Any advice/answers?