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Find the value of log2(8).

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Question: Find the value of log2(8).

Options:

  1. 2
  2. 3
  3. 4
  4. 1

Correct Answer: 3

Solution: 

log2(8) = log2(2^3) = 3.

Find the value of log2(8).

Practice Questions

Q1
Find the value of log2(8).
  1. 2
  2. 3
  3. 4
  4. 1

Questions & Step-by-Step Solutions

Find the value of log2(8).
Correct Answer: 3
  • Step 1: Understand what log2(8) means. It asks, 'To what power do we raise 2 to get 8?'
  • Step 2: Rewrite 8 as a power of 2. We know that 8 is the same as 2 raised to the power of 3 (because 2 * 2 * 2 = 8).
  • Step 3: Substitute 8 in the logarithm with 2^3. So, log2(8) becomes log2(2^3).
  • Step 4: Use the property of logarithms that says logb(b^x) = x. Here, b is 2 and x is 3.
  • Step 5: Apply the property: log2(2^3) = 3.
  • Step 6: Conclude that log2(8) = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express numbers as powers of their base.
  • Base Conversion – Recognizing that logarithms can be simplified by expressing the argument as a power of the base.
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