We are tasked with evaluating $\log_{125} 5$.

The logarithmic expression $\log_{125} 5$ asks, "What exponent do we need to raise 125 to, in order to get 5?"

Let's break this down step by step:

1. Express 125 as a power of 5: $125 = 5^3$ This means that $\log_{5^3} 5 = \frac{1}{3}$, because raising 125 to the power of $\frac{1}{3}$ will give you 5.

Thus, the solution to $\log_{125} 5$ is $\frac{1}{3}$.

Do you need more details or further clarifications on this?

Here are 5 related questions for practice:

1. What is $\log_{25} 5$?
2. What is $\log_{625} 5$?
3. How do you simplify $\log_{64} 4$?
4. What is the general formula for $\log_{a^n} b$?
5. How can you express $\log_{216} 6$?

Tip: When solving logarithms, rewriting the base as a power of the argument can simplify the calculation.