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If log_4(x) = 2, what is the value of x?

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Question: If log_4(x) = 2, what is the value of x?

Options:

  1. 4
  2. 8
  3. 16
  4. 32

Correct Answer: 16

Solution: 

log_4(x) = 2 implies x = 4^2 = 16.

If log_4(x) = 2, what is the value of x?

Practice Questions

Q1
If log_4(x) = 2, what is the value of x?
  1. 4
  2. 8
  3. 16
  4. 32

Questions & Step-by-Step Solutions

If log_4(x) = 2, what is the value of x?
  • Step 1: Understand that log_4(x) = 2 means that 4 raised to the power of 2 equals x.
  • Step 2: Write the equation in exponential form: x = 4^2.
  • Step 3: Calculate 4^2, which is 4 multiplied by itself (4 * 4).
  • Step 4: Find the result of 4 * 4, which equals 16.
  • Step 5: Conclude that the value of x is 16.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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