For what value of x does 3 raised to the 2 x power is equal to 9 raised to the 3 x minus 4 power ?
Answer
A
3
B
2
C
4
D
1
Explanation
Rewrite 9 as 3², so the equation becomes 3^(2x) = 3^(6x − 8). Since the bases are equal, set the exponents equal: 2x = 6x − 8, which gives x = 2. The correct choice is B, 2.
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