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The image you uploaded asks to find the value of \( \log_4 64 \).

To solve \( \log_4 64 \), we need to rewrite 64 as a power of 4. 

We know:
\[
64 = 4^3
\]

Using the logarithmic property:
\[
\log_b b^x = x
\]
We can simplify:
\[
\log_4 64 = \log_4 4^3 = 3
\]

Thus, the result of \( \log_4 64 \) is 3.

Would you like more details or further explanations? Here are some related questions:

1. How do you simplify logarithmic expressions?
2. What are the basic properties of logarithms?
3. How can we change the base of a logarithm using the change-of-base formula?
4. How do you solve logarithmic equations?
5. What are the differences between common and natural logarithms?

**Tip:** Always check if you can express the number inside a logarithm as a power of the base. This simplifies many calculations!

Learn how to solve the logarithmic equation \( \log_4 64 \). This problem demonstrates the use of logarithmic properties, including how to express numbers as powers of a base. Suitable for students in Grades 8-10.

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