Question 3: Expand the following using laws of logarithms:
\((iii)\) \(\quad\) \(ln\left(\frac{a^{2} b}{c}\right) \)
Solution:
\[
\begin{align*}
&=\ln\left(\frac{a^{2} b}{c}\right)\\
&=\ln a^{2} b-\ln c\\
&=\ln a^{2} +\ln b-\ln c\\
&=2\ln a +\ln b-\ln c\\
\end{align*}
\]