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Let's work on the given problem.

### Problem:
The question asks us to rewrite the exponential equation \(2^3 = 8\) as a logarithmic equation using the property:
\[
b^a = c \quad \text{if and only if} \quad \log_b(c) = a
\]

### Solution:
Given:
\[
2^3 = 8
\]

In logarithmic form, this translates to:
\[
\log_2(8) = 3
\]

### Explanation:
- **Base** \(b\) = 2
- **Exponent** \(a\) = 3
- **Result** \(c\) = 8

Using the rule \(b^a = c \iff \log_b(c) = a\), we convert the exponential form to the logarithmic form as \(\log_2(8) = 3\).

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Would you like more examples or clarification on this concept?

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### 5 Related Questions:
1. How would you rewrite the equation \(3^2 = 9\) in logarithmic form?
2. What is the logarithmic form of \(5^4 = 625\)?
3. If \(\log_7(49) = 2\), what is its equivalent exponential equation?
4. How do we evaluate \(\log_3(81)\) using properties of exponents?
5. Why is \(\log_b(b^a) = a\) always true?

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### Tip:
Always remember: The base of the logarithm becomes the base of the exponent, and the solution to the logarithm corresponds to the exponent in the original equation!

Rewrite the exponential equation 2^3 = 8 as a logarithmic equation.

Learn how to rewrite the exponential equation 2^3 = 8 as a logarithmic equation using the property b^a = c if and only if log_b(c) = a. This problem is suitable for students in Grades 8-10 and covers core algebraic concepts related to logarithms and exponents.

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