Given that \(27^{(1+x)}=9,)\ find x
A
-3
B
\(\frac{-1}{3}\)
C
\(\frac{5}{3}\)
D
2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(27^{(1+x)}\) = 9
\(3^{3(1+x)} = 3^2\)
3(1+x) = 2
3 + 3x = 2
3x = -1
x = \(\frac{-1}{3}\)
Source: Myschool Past Questions Archive (Record #26451)