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