recall that ln is just a shortcut for what really is logₑ, thus
[tex]\bf \textit{Logarithm Cancellation Rules}
\\\\
\boxed{log_a a^x = x}\qquad \qquad a^{log_a x}=x
\\\\\\also~recall~that~~ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
ln\left( \sqrt[5]{e} \right)\implies log_e\left( \sqrt[5]{e^1} \right)\implies log_e\left( e^{\frac{1}{5}}\right)\implies \cfrac{1}{5}[/tex]
