To solve \(\log_2 4\), we need to determine the power to which the base 2 must be raised to get 4.

The equation can be written as:
\[ 2^x = 4 \]

We know that \(4\) can be expressed as \(2^2\). Therefore, we have:
\[ 2^x = 2^2 \]

Since the bases are the same, we can set the exponents equal to each other:
\[ x = 2 \]

Therefore,
\[ \log_2 4 = 2 \]

Would you like more details or have any questions?

Here are five questions you might ask next:
1. How do you solve \(\log_2 8\)?
2. What is the value of \(\log_{10} 1000\)?
3. How do you simplify \(\log_b (xy)\)?
4. Can you explain the change of base formula for logarithms?
5. How do you solve \(\log_3 27\)?

Tip: When working with logarithms, remember that \(\log_b (a^c) = c \cdot \log_b (a)\), which can simplify many problems involving powers.

Learn how to solve the logarithm problem \(\log_2 4\) step-by-step. Understand the definition of logarithms and how to apply the change of base formula. Suitable for high school students studying logarithms and exponential equations.

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