Question # 01: Without using calculator, evaluate the following:
\((i)\) \(\quad\) \(\text{log}_218\ -\ \text{log}_2 9 \)
Solution:
\[
\begin{align*}
&=\text{log}_2 18\ -\ \text{log}_2 9\\
&=\text{log}_{2}\left(\frac{18}{9}\right)\\
&=\text{log}_{2}( 2)\\
&=1\\
\end{align*}
\]