Home » Given that (27^{(1+x)}=9,) find x

Given that (27^{(1+x)}=9,) find x

Given that (27^{(1+x)}=9,) find x
  • A.
    -3
  • B.
    (frac{-1}{3})
  • C.
    (frac{5}{3})
  • D.
    2
Correct Answer: Option B
Explanation

(27^{(1+x)}=9\
3^{3(1+x)}=3^2\
3(1+x)=2\
3+3x = 2\
3x = -1
x = frac{-1}{3})