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Given that \(27^{(1+x)}=9,)\ find x

Mathematics
WAEC 2000

Given that \(27^{(1+x)}=9,)\ find x

  • A. -3
  • B. \(\frac{-1}{3}\)
  • C. \(\frac{5}{3}\)
  • D. 2
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Correct Answer: Option B
Explanation

\(27^{(1+x)}\) = 9
\(3^{3(1+x)} = 3^2\)
 3(1+x) = 2
3 + 3x = 2
3x = -1

x = \(\frac{-1}{3}\)


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