Question

Express the following logarithms in terms of $\log a,\log b$, and $\log c$.
$\log (\sqrt{a^2{b}^3}{)}^6$.

Answer 1

$\log {\left(\sqrt{a^2{b}^3}\right)}^6=6\log \sqrt{a^2{b}^3}=\frac{6}{2}\log a^2{b}^3=3\{2\log a+3\log b\}=6\log a+9\log b$