Answer
$x=\ln{6}+4$
Work Step by Step
Take the natural logarithm of both sides of the equation to obtain:.
$$\ln e^{(x-4)}=\ln{6}$$
Using the properties $\ln a^{m} = m\ln{a}$ and $\ln{e}=1$ yields
$$(x-4) \ln{e}=\ln{6}\\
(x-4)(1)=\ln{6}\\
x-4=\ln{6}\\
x=\ln{6}+4$$
