Question

Solve the following equations:

(a) \(\log _5 x=2\)
(b) \(\log _x 4=2\)

Answer 1

(a)
\[
\begin{aligned}
& \log _5 x=2 \\
& \therefore x=5^2 \\
& \therefore x=25
\end{aligned}
\]

 

(b)
\[
\begin{aligned}
& \log _x 4=2 \\
& \therefore 4=x^2 \\
& \therefore x=\pm 2 \\
& \therefore x=2 \text { (since } x \neq-2 \text { ) }
\end{aligned}
\]