Question 3: Expand the following using laws of logarithms:
\((vi)\) \(\quad \) \(\log_{2}\left(\frac{1-a}{b}\right)^{5} \)
Solution:
\[
\begin{align*}
&=\log_{2}\left(\frac{1-a}{b}\right)^{5}\\
&=5\log_{2}\left(\frac{1-a}{b}\right)\\
&=5[\log_{2}( 1-a) -\log_{2} b]\\
\end{align*}
\]