Answer
$4-\ln{8}$
Work Step by Step
RECALL:
The quotient rule for logarithms states:
$\ln(\frac{b}{c})=\ln{b}−\ln{c}$
Use the quotient rule to obtain:
$=\ln(e^4))-\ln{8}$
Note that for all real numbers within its domain, $\ln{(e^n)}=n$.
This means that $\ln{(e^4)}=4$.
Thus,
$\ln{(e^4)}-\ln{8}=4-\ln{8}$
