1. The problem statement, all variables and given/known data Show that n^(logc)/c^(logn) =1 as n->inf where c is a constant greater than 1 2. Relevant equations 3. The attempt at a solution Tried L'hospitals. But the logs mess it up. Even if you assume that logc>1 then the top does eventually become a constant (second derivative). However the bottom gets too messy. Is there another method to start it?