1. The problem is to verify the logarithmic equation $\log_5 25 = 2$. 2. Recall the definition of logarithm: $\log_b a = c$ means $b^c = a$. 3. Here, $b=5$, $a=25$, and $c=2$. We need to check if $5^2 = 25$. 4. Calculate $5^2 = 5 \times 5 = 25$. 5. Since $5^2 = 25$, the equation $\log_5 25 = 2$ is true. Final answer: $\log_5 25 = 2$ is correct.