How do you simplify #ln (e* e * e)#?

1 Answer
George C.
Oct 25, 2015

#ln(e*e*e) = ln(e^3) = 3#

Explanation:

Natural logarithm #ln(x):(0, oo)->RR# and the natural exponential function #e^x:RR->(0, oo)# are inverses of one another.

So #ln(e^x) = x# for #x in RR# and #e^(ln(x)) = x# for #x in (0, oo)#

Related questions
See all questions in The Natural Base e
Impact of this question
2187 views around the world
You can reuse this answer
Creative Commons License