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If log4(16) = a, what is the value of a?

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Question: If log4(16) = a, what is the value of a?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 2

Solution: 

log4(16) = 2, since 4^2 = 16.

If log4(16) = a, what is the value of a?

Practice Questions

Q1
If log4(16) = a, what is the value of a?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If log4(16) = a, what is the value of a?
  • Step 1: Understand that log4(16) means 'to what power must 4 be raised to get 16'.
  • Step 2: Think about the powers of 4. We know that 4^1 = 4 and 4^2 = 16.
  • Step 3: Since 4 raised to the power of 2 equals 16, we can say that log4(16) = 2.
  • Step 4: Therefore, the value of a is 2.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of a base.
  • Base and Exponent – Recognizing that log4(16) asks for the exponent to which the base 4 must be raised to yield 16.
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