Question

Condense the logarithm????????

Answer 1

`\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( (x)/(y)\right)\implies \log_a(x)-\log_a(y) \end{array} ~\hfill~ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log(a)-2\log(c)\implies \log(a)-\log(c^2)\implies \log\left( \cfrac{a}{c^2} \right)`