If \(8^{x+1}=\frac{1}{4}\), find x

  • A \(-\frac{5}{3}\)
  • B -1
  • C \(-\frac{1}{3}\)
  • D \(\frac{1}{3}\)
waec 2007mathematics

The correct answer is A. \(-\frac{5}{3}\)

\(8^{x+1}=\frac{1}{4}\\

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

3x=-5\Rightarrow x=\frac{5}{3}\)

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