Given the equation $\log_5 x = 2$, we need to find the value of $x$.

Step-by-Step Solution:

1. Understand the Logarithmic Equation: $\log_5 x = 2$ This equation means that the base $5$ raised to the power of $2$ gives $x$.

2. Rewrite the Equation in Exponential Form: The equation can be rewritten as: $x = 5^2$

3. Calculate the Value of $x$: $x = 25$

So, the value of $x$ is $25$.

Would you like to explore further concepts or have more questions about logarithms?

Here are 5 related questions:

1. What is the process to solve logarithmic equations with different bases?
2. How do you solve $\log_b x = y$ for $x$ in general?
3. Can you solve $\log_2 (x+3) = 3$ for $x$?
4. What is the relationship between logarithms and exponents?
5. How can you solve equations that involve natural logarithms ($\ln$)?

Tip: When solving logarithmic equations, always consider rewriting them in exponential form to simplify the solution process.