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Which of the following is true for the expression 4^(x+1) = 16? (2023)

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Question: Which of the following is true for the expression 4^(x+1) = 16? (2023)

Options:

  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 0

Correct Answer: x = 1

Exam Year: 2023

Solution: 

Since 16 can be expressed as 4^2, we have 4^(x+1) = 4^2, leading to x + 1 = 2, thus x = 1.

Which of the following is true for the expression 4^(x+1) = 16? (2023)

Practice Questions

Q1
Which of the following is true for the expression 4^(x+1) = 16? (2023)
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 0

Questions & Step-by-Step Solutions

Which of the following is true for the expression 4^(x+1) = 16? (2023)
  • Step 1: Identify the expression we need to solve: 4^(x+1) = 16.
  • Step 2: Recognize that 16 can be rewritten as a power of 4. We know that 4^2 = 16.
  • Step 3: Rewrite the equation using this information: 4^(x+1) = 4^2.
  • Step 4: Since the bases (4) are the same, we can set the exponents equal to each other: x + 1 = 2.
  • Step 5: Solve for x by subtracting 1 from both sides: x = 2 - 1.
  • Step 6: Simplify the equation to find the value of x: x = 1.
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