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What is the value of log_3(27)?

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Question: What is the value of log_3(27)?

Options:

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Correct Answer: 3

Solution: 

Since 27 = 3^3, log_3(27) = 3.

What is the value of log_3(27)?

Practice Questions

Q1
What is the value of log_3(27)?
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Questions & Step-by-Step Solutions

What is the value of log_3(27)?
  • Step 1: Understand what log_3(27) means. It asks, 'To what power do we raise 3 to get 27?'
  • Step 2: Rewrite 27 as a power of 3. We know that 27 = 3^3.
  • Step 3: Now we can replace 27 in the log expression: log_3(27) becomes log_3(3^3).
  • Step 4: Use the property of logarithms that says log_b(b^x) = x. Here, b is 3 and x is 3.
  • Step 5: Therefore, log_3(3^3) = 3.
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