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

Mathematics
JAMB 1992
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
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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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