Question

lne^3 evaluating logarithms

Answer 1

ln(E^x)= x

Answer 2

by definition

Answer 3

use your laws of natural logarithms
\[lna^{n}=n \times lna\]
when a=e
and n=3
\[lne^{3}=3lne\]
since natural log is base e
base e of e, is the same as saying
\[e^{n}=e\]

therefore lne=1
this gives
\[3lne=3 \times 1\]