The problem asks to evaluate $\log_{5}(1)$.

The logarithmic expression $\log_{a}(b)$ represents the power to which the base $a$ must be raised to yield $b$. Specifically:

$\log_{5}(1) = x \implies 5^x = 1$

The only value of $x$ that satisfies $5^x = 1$ is $x = 0$, because any number raised to the power of 0 equals 1.

Thus: $\log_{5}(1) = 0$

Do you have any questions or want further clarification?

Here are 5 related questions to consider:

1. How is the logarithmic function defined for negative bases?
2. Why does $\log_a(1) = 0$ for any positive base $a \neq 1$?
3. How do you simplify logarithmic expressions with different bases?
4. What happens when $\log_a(a^x)$ is evaluated?
5. Can the base of a logarithm be a fraction or a decimal?

Tip: Always check the base and argument of the logarithmic function to ensure they meet the logarithm's domain conditions (base > 0 and base ≠ 1; argument > 0).