Solve the following equation. $$ \log _{5} x=2 $$ The solution set is $$ \{\square\} $$ (Simplify your answer.)

Question

UpStudy AI · Accepted Answer

1. We start with the equation:
   $$
   \log_{5} x = 2
   $$

2. By the definition of logarithms, this equation is equivalent to:
   $$
   x = 5^2
   $$

3. Calculate $$5^2$$:
   $$
   x = 25
   $$

The solution set is:
$$
\{25\}
$$
The solution is $$ x = 25 $$.

Solve the following equation.

The solution set is
(Simplify your answer.)