What is the value of x satisfying the equation (frac{4^{2x}}{4^{3x}}) = 2?

A.
2 
B.
(frac{1}{2}) 
C.
(frac{1}{2}) 
D.
2
Correct Answer: Option B
Explanation
(frac{4^{2x}}{4^{3x}}) = 2
4^{2x – 3x} = 2
4^{x} = 2
(2^{2})^{x}
= 2^{1}
Equating coefficients: 2x = 1
x = (frac{1}{2})