If \(8^{x+1}=\frac{1}{4}\), find x
A
\(-\frac{5}{3}\)
B
-1
C
\(-\frac{1}{3}\)
D
\(\frac{1}{3}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(8^{x+1}=\frac{1}{4}\\
2^{3(x+1)}=2^{-2}\Rightarrow 3(x+1)=-2\Rightarrow 3x+3=-2\\
3x=-5\Rightarrow x = -\frac{5}{3}\)
Source: Myschool Past Questions Archive (Record #26729)