algebra precalculus - How do I prove $log(x^n)=nlog|x|$?

By definition we know that: $\log(x^n)=n\log|x|$ as known property in logarithm function .

If it's not a trivial question, how do I prove that :$\log(x^n)=n\log|x|$?

Note: $x$ is real number, $n$ is a natural number.

Thank you for any help.