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What is the value of log_2(32)?

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

Options:

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

Correct Answer: 5

Solution: 

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

What is the value of log_2(32)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of log_2(32)?
  • 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 multiplied by itself 5 times (2 * 2 * 2 * 2 * 2).
  • Step 3: Write this as an exponent: 32 = 2^5.
  • Step 4: Now, substitute this back into the logarithm: log_2(32) = log_2(2^5).
  • Step 5: Use the property of logarithms that says log_b(b^x) = x. Here, b is 2 and x is 5.
  • Step 6: Therefore, log_2(2^5) = 5.
  • Step 7: Conclude that the value of log_2(32) is 5.
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