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Which of the following is true for the expression 3^(2x) = 27?

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Question: Which of the following is true for the expression 3^(2x) = 27?

Options:

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

Correct Answer: x = 1

Solution: 

27 = 3^(3), so 2x = 3, thus x = 3/2.

Which of the following is true for the expression 3^(2x) = 27?

Practice Questions

Q1
Which of the following is true for the expression 3^(2x) = 27?
  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 3^(2x) = 27?
Correct Answer: x = 3/2
  • Step 1: Start with the equation 3^(2x) = 27.
  • Step 2: Recognize that 27 can be rewritten as a power of 3. Specifically, 27 = 3^(3).
  • Step 3: Now, we can set the exponents equal to each other because the bases (3) are the same. So, we have 2x = 3.
  • Step 4: To solve for x, divide both sides of the equation by 2. This gives us x = 3/2.
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