Im trying to use L'Hopitals rule to determine which function, f(x) or g(x) is increasing at a faster rate. The section I'm on has problems that are all a natural log on the top and some form of a root of X on the bottom. On this problem, for example:
the limit as x approaches infinity of
My question is what exactly is the ln^5(x) mean? Can it be rewritten as ln(x)^5 and then bring the 5 in front of the natural log so its 5ln(x) by the rules of natural logs? or does it mean something else?
All help is greatly appreciated.