If \(8^{x+1}=\frac{1}{4}\), find x
-
\(-\frac{5}{3}\)
- -1
- \(-\frac{1}{3}\)
- \(\frac{1}{3}\)
The correct answer is: A
Explanation
\(8^{x+1}=\frac{1}{4}\\
2^{3(x+1)}=2^{-2}\Rightarrow 3(x+1)=-2\Rightarrow 3x+3=-2\\
3x=-5\Rightarrow x = -\frac{5}{3}\)