How do you simplify lne^4lne4?

1 Answer
Feb 22, 2016

44

Explanation:

You may put any power in the argument before the lnln:
lne^4=4lnelne4=4lne (this goes for loglog's to any base)

Then since ee is the base of the lnln-function (lnx=log_e xlnx=logex), it follows that: lne=log_e e=1lne=logee=1, just as log_10 10=1log1010=1

So: lne^4=4*lne=4*1=4lne4=4lne=41=4