Question 2: Write the following as a single logarithm:
\((ii)\) \(\quad\) \(\log\ 9 -\log\ \frac{1}{3}\)
Solution:
\[
\begin{align*}
&=\log 9-\log\frac{1}{3}\\
&=\log\left( 9\div \frac{1}{3}\right)\\
&=\log( 9\times 3)\\
&=\log 27\\
\end{align*}
\]
Question 2: Write the following as a single logarithm:
\((ii)\) \(\quad\) \(\log\ 9 -\log\ \frac{1}{3}\)
Solution:
\[
\begin{align*}
&=\log 9-\log\frac{1}{3}\\
&=\log\left( 9\div \frac{1}{3}\right)\\
&=\log( 9\times 3)\\
&=\log 27\\
\end{align*}
\]