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. \(\frac{1}{3}\)
Correct Answer: A. \(-\frac{5}{3}\)
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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