https://file.aiquickdraw.com/mathbot/file/1730740586767yvoqfyb4.jpg

To solve the expression given in the image:

\[
\log_3 36 - \log_3 4
\]

we can use the **logarithmic subtraction property**:

\[
\log_a b - \log_a c = \log_a \left(\frac{b}{c}\right)
\]

Applying this to our expression:

\[
\log_3 36 - \log_3 4 = \log_3 \left(\frac{36}{4}\right)
\]

Calculating inside the logarithm:

\[
\frac{36}{4} = 9
\]

So the expression simplifies to:

\[
\log_3 9
\]

Now, we evaluate \(\log_3 9\), which means "the power to which 3 must be raised to get 9." Since:

\[
3^2 = 9
\]

we find that:

\[
\log_3 9 = 2
\]

### Final Answer:
\[
\text{The answer is } 2.
\]

Would you like more details on the properties of logarithms or any further questions on this? Here are some related topics:

1. How to evaluate logarithmic expressions with different bases.
2. Simplifying logarithmic expressions using the quotient rule.
3. Converting between exponential and logarithmic forms.
4. Solving logarithmic equations for unknowns.
5. Understanding the properties of logarithms in depth.

**Tip:** When subtracting two logs with the same base, consider using the quotient rule for logarithms to simplify.

Step-by-step solution for calculating \( \log_3 36 - \log_3 4 \) using logarithmic properties, including the quotient rule. Suitable for students in Grades 8-10 learning about logarithmic simplification.

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