[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llll} A.3\\\\ \log_{\frac{1}{2}}\left( \frac{1}{8} \right)=3\implies \left( \cfrac{1}{2} \right)^3=\cfrac{1}{8}~ \end{array} \hfill \begin{array}{llll} B.4\\\\ 3^{-4}=\cfrac{1}{81}\implies \log_3\left( \frac{1}{81} \right)=-4 \end{array}[/tex]
