The equation \(2^5 = 32\) can be rewritten as a logarithmic equation:

\[
\log_2{32} = 5
\]

This means that 5 is the exponent to which the base 2 must be raised to obtain 32.

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Here are 5 related questions:
1. How would you express \(3^4 = 81\) as a logarithmic equation?
2. What is \(\log_5{125}\) in exponential form?
3. Can you solve for \(x\) in the equation \(2^x = 16\) using logarithms?
4. What is the value of \(\log_2{64}\)?
5. How do you express the equation \(10^3 = 1000\) as a logarithmic equation?

**Tip:** When converting between exponential and logarithmic forms, remember that the base of the exponent becomes the base of the logarithm.

Learn how to rewrite the exponential equation 2^5 = 32 as a logarithmic equation. This problem explores fundamental concepts in exponential functions and logarithms, providing step-by-step explanation and related questions. Suitable for students in Grades 9-12.

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