The expression \(\frac{\log 4}{\log 2}\) can be simplified using the properties of logarithms, specifically the change of base formula:

\[
\frac{\log 4}{\log 2} = \log_2 4
\]

Now, \(\log_2 4\) asks the question: "To what power must 2 be raised to get 4?" Since \(2^2 = 4\), we have:

\[
\log_2 4 = 2
\]

Therefore:

\[
\frac{\log 4}{\log 2} = 2
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the value of \(\log_2 8\)?
2. How can you simplify \(\frac{\log 16}{\log 4}\)?
3. What is the general form of the change of base formula for logarithms?
4. How do you simplify \(\frac{\log 32}{\log 2}\)?
5. What is the result of \(\log_3 9\)?

**Tip:** Remember that \(\log_a b = \frac{\log_c b}{\log_c a}\) for any positive base \(c\).

Learn how to simplify logarithms using the change of base formula. Explore \(\frac{\log 4}{\log 2}\) and discover its simplified form, \(\log_2 4 = 2\). Suitable for advanced high school students and those preparing for logarithmic calculations.

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