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Which of the following is true for the expression 4^(x) = 16?

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Question: Which of the following is true for the expression 4^(x) = 16?

Options:

  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Correct Answer: x = 2

Solution: 

16 = 4^(2), thus x = 2.

Which of the following is true for the expression 4^(x) = 16?

Practice Questions

Q1
Which of the following is true for the expression 4^(x) = 16?
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Questions & Step-by-Step Solutions

Which of the following is true for the expression 4^(x) = 16?
Correct Answer: x = 2
  • Step 1: Start with the equation 4^(x) = 16.
  • Step 2: Recognize that 16 can be rewritten as a power of 4.
  • Step 3: Rewrite 16 as 4^(2) because 4 times 4 equals 16.
  • Step 4: Now the equation looks like 4^(x) = 4^(2).
  • Step 5: Since the bases are the same (both are 4), we can set the exponents equal to each other.
  • Step 6: This gives us the equation x = 2.
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