https://file.aiquickdraw.com/mathbot/file/1730039866366dv7g4mxe.jpg

To solve this question, let’s review the **addition law of logarithms**, which states that:

\[
\log_b (m \cdot n) = \log_b m + \log_b n
\]

This rule indicates that the logarithm of a product is equal to the sum of the logarithms of each factor.

### Answer Analysis

In the options provided:
1. The second option, \(\log_b (mn) = \log_b m + \log_b n\), directly matches this addition law of logarithms.

### Correct Answer
The correct answer is:
\[
\log_b (mn) = \log_b m + \log_b n
\]

Would you like more details on logarithmic properties or how they’re applied in different equations?

### Related Questions
1. What is the subtraction law of logarithms?
2. How does the power rule of logarithms work?
3. What is the change of base formula for logarithms?
4. Can logarithmic properties be applied to solve exponential equations?
5. How are logarithmic properties useful in simplifying complex logarithmic expressions?

### Tip
When solving logarithmic problems, always identify if the expression can be simplified using the addition, subtraction, or power rules of logarithms.

Which of the following equations illustrates the addition law of logarithms?

This guide explores the addition law of logarithms, explaining how to identify equations that apply this rule. Suitable for high school students in Grades 9-12.

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