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What is the value of log_2(32) - log_2(8)?

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Question: What is the value of log_2(32) - log_2(8)?

Options:

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Correct Answer: 3

Solution: 

log_2(32) = 5 and log_2(8) = 3. Therefore, 5 - 3 = 2.

What is the value of log_2(32) - log_2(8)?

Practice Questions

Q1
What is the value of log_2(32) - log_2(8)?
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Questions & Step-by-Step Solutions

What is the value of log_2(32) - log_2(8)?
Correct Answer: 2
  • Step 1: Understand that log_2(32) means 'to what power do we raise 2 to get 32?'
  • Step 2: Calculate log_2(32). Since 2^5 = 32, we find that log_2(32) = 5.
  • Step 3: Now, understand that log_2(8) means 'to what power do we raise 2 to get 8?'
  • Step 4: Calculate log_2(8). Since 2^3 = 8, we find that log_2(8) = 3.
  • Step 5: Now, subtract the two results: 5 - 3.
  • Step 6: Calculate the subtraction: 5 - 3 = 2.
  • Step 7: The final answer is 2.
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