Question 7: Write the following as a single logartihm:
\((i)\) \(\quad\) \(7 \log x-3\log y^{2}\)
Solution:
\[
\begin{align*}
&=7\log x-3\log y^{2}\\
&=\log x^{7} -\log y^{2\times 3}\\
&=\log x^{7} -\log y^{6}\\
&=\log\frac{x^{7}}{y^{6}}
\end{align*}
\]