Question 4: Find the value of \(x\) in the following equations:
\((v)\) \(\quad\) \(\log( 5x-10) =2 \)
Solution:
\[\log( 5x-10) =2\]
Taking antilog on both sides, we have
\[
\begin{align*}
5x-10&=100\\
5x&=100+10\\
5x&=110\\
x&=\frac{110}{5}\\
x&=22
\end{align*}
\]