Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\).
\[F=\log{{x}^{5}}+2x\log{}\]
Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\).
\[F=\log{{x}^{5}}+x\log{{}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[F=\log{{x}^{5}}+x\log{({}^{2}{}^{2})}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[F=\log{{x}^{5}}+x\log{{}^{4}}\]
Regroup terms.
\[F=\log{{x}^{5}}+\log{{}^{4}}x\]
F=log(x^5)+log(^4)*x
