Correct, except for the fact that the logarithm of the numerator, excluding your stupid negative sign, is negative in and of itself. [censored]. :p
The negative sign you included makes it wrong.
And you didn't PM me how you solved (factored :p ) it, so you still haven't won.
The funny thing is the fact that you're the only one to solve it. I've gotten an answer in PM, but it was completely wrong. And everyone on IRC i originally tried it out on failed to solve it, so I had to give them the solution. Though to be fair, quick didn't have time to solve it.