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

Mathematics
WAEC 2007

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

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

\(8^{x+1}=\frac{1}{4}\\
2^{3(x+1)}=2^{-2}\Rightarrow 3(x+1)=-2\Rightarrow 3x+3=-2\\
3x=-5\Rightarrow x = -\frac{5}{3}\)


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