[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 2x^3=y\implies \stackrel{\textit{taking log() to both sides}}{\log(2x^3)=\log(y)}\implies \log(2)+\log(x^3)=\log(y) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \log(2)+3\log(x)=\log(y)~\hfill[/tex]
