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The value of log_2(32) is?

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Question: The value of log_2(32) is?

Options:

  1. 4
  2. 5
  3. 6
  4. 7

Correct Answer: 5

Solution: 

Since 32 = 2^5, log_2(32) = 5.

The value of log_2(32) is?

Practice Questions

Q1
The value of log_2(32) is?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

The value of log_2(32) is?
  • Step 1: Understand what log_2(32) means. It asks, 'To what power do we raise 2 to get 32?'
  • Step 2: Rewrite 32 as a power of 2. We know that 32 = 2^5.
  • Step 3: Substitute this back into the logarithm. So, log_2(32) becomes log_2(2^5).
  • Step 4: Use the property of logarithms that says log_b(b^x) = x. Here, b is 2 and x is 5.
  • Step 5: Therefore, log_2(2^5) = 5.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of its base.
  • Base Conversion – Recognizing how to convert numbers into a base that allows for easier logarithmic calculations.
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