Yes, you are correct! Let’s break this down step by step for clarity:

1. **Logarithmic Expression:**
   \[
   \log_2(0.25) = -2
   \]
   This is true because \(0.25\) can be written as a power of 2. In fact, \(0.25 = \frac{1}{4} = 2^{-2}\). Therefore:
   \[
   \log_2(2^{-2}) = -2
   \]
   This confirms that the logarithm of \(0.25\) base 2 is \(-2\).

2. **Exponential Expression:**
   \[
   2^{-2} = 0.25
   \]
   This is also true. When you raise 2 to the power of \(-2\), it’s the same as:
   \[
   2^{-2} = \frac{1}{2^2} = \frac{1}{4} = 0.25
   \]

Both expressions are consistent with each other, illustrating the inverse relationship between logarithms and exponents.

Would you like further details or have any questions?

### 5 Related Questions:
1. How does the logarithmic function relate to exponential functions?
2. What is the general rule for calculating logarithms of fractions?
3. Can you express \( \log_b(x) = y \) as an exponential equation?
4. How can we simplify logarithms with different bases, such as \( \log_3(0.25) \)?
5. How would you solve for \( x \) in \( 2^x = 0.125 \)?

**Tip:** When dealing with logarithms, always check if you can express the number in terms of the base as a power!

Explore how log2(.25) = -2 and 2^-2 = .25 illustrate the relationship between logarithms and exponents. This step-by-step guide explains key concepts in logarithms and exponential functions, suitable for students in Grades 9-12.

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