That one's nasty. I don't know if it's possible to find the root of that analytically. You might have to use a numerical method or hand it off to a computer.
The teacher asked me to find the root. You can use analytically, numerically or graphically. Judging from the posts I am assuming that an analytical way is pretty much impossible and therefore I can just use my graphing calculator.
Thanks for confirming
Reply to AsZ: Given that this post is in the pre-calculus forum, I doubt if the Intermediate Value Theorem is required, or even that it is required to prove the existence of roots. Certainly, proving existence isn't a bad idea - it could save loads of time, especially if there aren't any...