[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\\\
\textit{Logarithm of exponentials}
\\\\
log_a\left( x^b \right)\implies b\cdot log_a(x)\\\\
-------------------------------\\\\
log\left( \sqrt[3]{4} \right)\implies log\left( \sqrt[3]{4^1} \right)\implies log\left( 4^{\frac{1}{3}}\right)\implies \frac{1}{3}log(4)[/tex]
