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What is the value of log2(1/8)?

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Question: What is the value of log2(1/8)?

Options:

  1. -2
  2. -3
  3. -4
  4. -5

Correct Answer: -3

Solution: 

1/8 = 2^-3, so log2(1/8) = -3.

What is the value of log2(1/8)?

Practice Questions

Q1
What is the value of log2(1/8)?
  1. -2
  2. -3
  3. -4
  4. -5

Questions & Step-by-Step Solutions

What is the value of log2(1/8)?
Correct Answer: -3
  • Step 1: Understand that log2(x) means 'to what power do we raise 2 to get x'.
  • Step 2: Rewrite 1/8 as a fraction: 1/8 = 1 ÷ 8.
  • Step 3: Recognize that 8 can be written as a power of 2: 8 = 2^3.
  • Step 4: Therefore, 1/8 can be rewritten as 1/(2^3) = 2^-3.
  • Step 5: Now, we can find log2(1/8) by substituting: log2(1/8) = log2(2^-3).
  • Step 6: Using the property of logarithms, log2(2^x) = x, we find log2(2^-3) = -3.
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