If (-3)^(2x) = 3^(12 - x) and x is an integer, what is the value of x ?
If (-3)^(2x) = 3^(12 - x) and x is an integer, what is the value of x ?
Answer/Solution
4
Steps/Work
Since x is an integer, (-3)^(2x) is always positive.
So, 3^2x = 3^(12 - x)
2x = 12 - x
3x = 12
x = 4
Answer: B
So, 3^2x = 3^(12 - x)
2x = 12 - x
3x = 12
x = 4
Answer: B