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The problem asks to evaluate logarithmic expressions, and specifically, the first part of question 5 is about evaluating \( \log_2 16 \).

We know the logarithmic rule that:

\[
\log_b (x) = y \implies b^y = x
\]

In this case, \( \log_2 16 \) means "to what power must 2 be raised to get 16?"

Since:

\[
2^4 = 16
\]

We can conclude that:

\[
\log_2 16 = 4
\]

Thus, the correct answer for part (a) is \( 4 \).

Would you like me to help with the other parts of the problem or provide more details on this solution?

Here are 5 questions that expand on this concept:
1. What is \( \log_3 27 \) using the same logarithmic rule?
2. How can logarithmic properties simplify \( \log_2 8 \)?
3. What is the logarithmic equivalent of \( \log_b (1) \) for any base \( b \)?
4. How do you simplify \( \log_2 \left( \frac{1}{8} \right) \)?
5. Can you apply logarithmic rules to evaluate \( \log_2 64 \)?

**Tip:** To better understand logarithms, remember that they are the inverse operation of exponentiation. Knowing the powers of small numbers like 2, 3, or 10 can make logarithmic calculations easier without a calculator.

Evaluate the logarithmic expression without using a calculator. Remember that log_a x is the exponent to which a must be raised in order to obtain x. Specifically, solve log_2 16.

Learn how to solve the logarithmic expression log_2 16 using the logarithmic rule that connects exponents and logarithms. This problem demonstrates the inverse property of exponents and logarithms, ideal for high school students.

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