To solve this question, let's analyze what the expression $\log_5 125 = 3$ means.

The expression $\log_5 125 = 3$ states that the logarithm of 125 with base 5 is 3. This can be rewritten in exponential form as: $5^3 = 125$

Now, let's match this with the answer choices:

• (a) $x^{125} = 5$ — This does not represent the original equation $\log_5 125 = 3$.
• (b) $125^3 = x$ — This also does not match the intended relationship.
• (c) $x^3 = 125$ — This does not match the original equation because it changes the base.
• (d) $5^3 = 125$ — This matches our converted equation exactly.

Therefore, the correct answer is: (d) $5^3 = 125$

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the equivalent exponential form of $\log_2 16 = 4$?
2. If $\log_3 81 = 4$, what is the equivalent exponential equation?
3. How would you express $\log_7 49 = 2$ in exponential form?
4. Which equation is equivalent to $\log_4 64 = 3$?
5. If $\log_8 64 = x$, what value does $x$ represent?

Tip: Remember, $\log_b a = c$ can be converted to $b^c = a$, which is often helpful for solving logarithmic problems in exponential terms.