Evaluate the following expression.

log subscript 2 left parenthesis 4 right parenthesis plus log subscript 2 left parenthesis 8 right parenthesis plus log subscript 2 left parenthesis 16 right parenthesis

9

6

5

14

The given expression is:

\[
\log_2(4) + \log_2(8) + \log_2(16)
\]

Let's evaluate each term separately:

1. \( \log_2(4) \): Since \( 4 = 2^2 \), \( \log_2(4) = 2 \).
2. \( \log_2(8) \): Since \( 8 = 2^3 \), \( \log_2(8) = 3 \).
3. \( \log_2(16) \): Since \( 16 = 2^4 \), \( \log_2(16) = 4 \).

Now, add these values:

\[
2 + 3 + 4 = 9
\]

Thus, the value of the expression is **9**.

Would you like further details, or do you have any questions?

Here are 5 questions to deepen your understanding:
1. What is the general rule for calculating logarithms with different bases?
2. How can you simplify logarithmic expressions using properties like the product and power rules?
3. Why is the base-2 logarithm commonly used in computer science?
4. How would you evaluate \( \log_3(9) + \log_3(27) \)?
5. Can you apply this process to logarithms with other bases, like \( \log_5(25) \)?

**Tip:** When evaluating logarithms, express the number as a power of the base to simplify calculations.

Evaluate the following expression: log subscript 2 left parenthesis 4 right parenthesis plus log subscript 2 left parenthesis 8 right parenthesis plus log subscript 2 left parenthesis 16 right parenthesis.

Learn how to evaluate the logarithmic expression log2(4) + log2(8) + log2(16). This step-by-step solution covers key logarithmic concepts and properties, including the use of powers of 2 and basic logarithmic rules. Ideal for students in Grades 9-10.

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