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What is the value of log3(81)?

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Question: What is the value of log3(81)?

Options:

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  3. 4
  4. 5

Correct Answer: 4

Solution: 

log3(81) = log3(3^4) = 4.

What is the value of log3(81)?

Practice Questions

Q1
What is the value of log3(81)?
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Questions & Step-by-Step Solutions

What is the value of log3(81)?
  • Step 1: Identify the base of the logarithm, which is 3 in this case.
  • Step 2: Rewrite the number 81 as a power of 3. Since 81 is equal to 3 raised to the power of 4 (3^4), we can write it as log3(3^4).
  • Step 3: Use the property of logarithms that states log_b(b^x) = x. Here, b is 3 and x is 4.
  • Step 4: Apply the property: log3(3^4) = 4.
  • Step 5: Conclude that the value of log3(81) is 4.
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