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Which of the following is true for the expression 3^(2x) = 27?
Which of the following is true for the expression 3^(2x) = 27?
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Practice Questions
1 question
Q1
Which of the following is true for the expression 3^(2x) = 27?
x = 1
x = 2
x = 3
x = 0
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27 = 3^(3), so 2x = 3, thus x = 3/2.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is true for the expression 3^(2x) = 27?
Solution:
27 = 3^(3), so 2x = 3, thus x = 3/2.
Steps: 4
Show Steps
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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