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If 92x = \(\frac{1}{3}\)(27x), find x

Mathematics
WAEC 2009
If 92x = \(\frac{1}{3}\)(27x), find x
  • A. 2
  • B. 1
  • C. -1
  • D. -2
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Correct Answer: Option C
Explanation
92x = \(\frac{1}{3}\)(27x)

(22)2x = \(\frac{(3^{3x})}{3}\)

(34x) = 33x - 1

4x = 3x - 1

4x - 3x = -1

x = -1
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