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What is the value of log_2(32) - log_2(4)?

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Question: What is the value of log_2(32) - log_2(4)?

Options:

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  4. 4

Correct Answer: 3

Solution: 

log_2(32) = 5 and log_2(4) = 2. Therefore, 5 - 2 = 3.

What is the value of log_2(32) - log_2(4)?

Practice Questions

Q1
What is the value of log_2(32) - log_2(4)?
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Questions & Step-by-Step Solutions

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