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

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

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: Option A
Explanation

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

Related:  Given that (log_4 x = -3), find x.