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

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

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
42x – 3x = 2
4-x = 2
(22)-x
= 21
Equating coefficients: -2x = 1
x = -(frac{1}{2})

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