How Do You Simplify Lne 4

##4##

You may put any power in the argument before the ##ln##:##lne^4=4lne## (this goes for ##log##’s to any base)

Then since ##e## is the base of the ##ln##-function (##lnx=log_e x##), it follows that: ##lne=log_e e=1##, just as ##log_10 10=1##

So: ##lne^4=4*lne=4*1=4##

 

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