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Which of the following is true for the expression 2^(x+3) = 8? (2023)

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Question: Which of the following is true for the expression 2^(x+3) = 8? (2023)

Options:

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

Correct Answer: x = 1

Exam Year: 2023

Solution: 

Since 8 can be expressed as 2^3, we have 2^(x+3) = 2^3, thus x + 3 = 3, leading to x = 0.

Which of the following is true for the expression 2^(x+3) = 8? (2023)

Practice Questions

Q1
Which of the following is true for the expression 2^(x+3) = 8? (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 2^(x+3) = 8? (2023)
  • Step 1: Start with the equation 2^(x+3) = 8.
  • Step 2: Recognize that 8 can be written as a power of 2. Specifically, 8 = 2^3.
  • Step 3: Rewrite the equation using this information: 2^(x+3) = 2^3.
  • Step 4: Since the bases (2) are the same, we can set the exponents equal to each other: x + 3 = 3.
  • Step 5: Solve for x by subtracting 3 from both sides: x = 3 - 3.
  • Step 6: Simplify the equation: x = 0.
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