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

Correct Answer: B. \(\frac{-1}{3}\)

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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