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What is the value of log_2(1/8)? (2023)

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Question: What is the value of log_2(1/8)? (2023)

Options:

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

Correct Answer: -3

Exam Year: 2023

Solution: 

log_2(1/8) = log_2(2^-3) = -3.

What is the value of log_2(1/8)? (2023)

Practice Questions

Q1
What is the value of log_2(1/8)? (2023)
  1. -3
  2. -2
  3. 2
  4. 3

Questions & Step-by-Step Solutions

What is the value of log_2(1/8)? (2023)
  • Step 1: Understand what log_2(1/8) means. It asks for the power to which 2 must be raised to get 1/8.
  • Step 2: Rewrite 1/8 as a power of 2. Since 8 is 2^3, we can say 1/8 = 1/(2^3) = 2^-3.
  • Step 3: Now we can rewrite the logarithm: log_2(1/8) = log_2(2^-3).
  • Step 4: Use the property of logarithms that says log_b(b^x) = x. Here, b is 2 and x is -3.
  • Step 5: Therefore, log_2(2^-3) = -3.
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