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If log3(27) = a, what is the value of a?

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Question: If log3(27) = a, what is the value of a?

Options:

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  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution: 

log3(27) = 3, since 3^3 = 27.

If log3(27) = a, what is the value of a?

Practice Questions

Q1
If log3(27) = a, what is the value of a?
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Questions & Step-by-Step Solutions

If log3(27) = a, what is the value of a?
  • Step 1: Understand that log3(27) means 'to what power must 3 be raised to get 27'.
  • Step 2: Identify that 27 can be expressed as a power of 3. In this case, 27 is equal to 3 raised to the power of 3 (3^3 = 27).
  • Step 3: Since 3 raised to the power of 3 equals 27, we can conclude that log3(27) = 3.
  • Step 4: Therefore, the value of a is 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms with a given base.
  • Exponential Functions – Recognizing that logarithms can be converted to exponential form to find the value of the logarithm.
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