Question # 01: Without using calculator, evaluate the following:
\((iv)\) \(\quad\) \(2 \log 2+\log 25 \)
Solution:
\[
\begin{align*}
&=2\log 2+\log 25\\
&=2\log 2+\log 5^{2}\\
&=2\log 2+2\log 5\\
&=2(\log 2+\log 5)\\
&=2\log( 2\times 5)\\
&=2\log( 10)\\
&=2( 1)\\
&=2
\end{align*}
\]