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If log_4(x) = 1/2, what is the value of x?

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Question: If log_4(x) = 1/2, what is the value of x?

Options:

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

Correct Answer: 2

Solution: 

log_4(x) = 1/2 implies x = 4^(1/2) = 2.

If log_4(x) = 1/2, what is the value of x?

Practice Questions

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

Questions & Step-by-Step Solutions

If log_4(x) = 1/2, what is the value of x?
Correct Answer: 2
  • Step 1: Understand that log_4(x) = 1/2 means that 4 raised to the power of 1/2 equals x.
  • Step 2: Rewrite the equation in exponential form: x = 4^(1/2).
  • Step 3: Calculate 4^(1/2). This means finding the square root of 4.
  • Step 4: The square root of 4 is 2.
  • Step 5: Therefore, x = 2.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for the variable.
  • Exponential Functions – Recognizing the relationship between logarithms and exponents.
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