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Which of the following is true for the expression 4^(x) = 16?
Which of the following is true for the expression 4^(x) = 16?
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Practice Questions
1 question
Q1
Which of the following is true for the expression 4^(x) = 16?
x = 1
x = 2
x = 3
x = 4
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16 = 4^(2), thus x = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is true for the expression 4^(x) = 16?
Solution:
16 = 4^(2), thus x = 2.
Steps: 6
Show Steps
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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