If 27(^{x + 2}) (div) 9(^{x + 1}) = 3(^{2x}), find x.

A.
3 
B.
4 
C.
5 
D.
6
Correct Answer: Option B
Explanation
(27^{x + 2} div 9^{x + 1} = 3^{2x})
(3^{3(x + 2)} div 3^{2(x + 1)} = 3^{2x})
(3^{3x + 6} div 3^{2x + 2} = 3^{2x})
(therefore (3x + 6) – (2x + 2) = 2x)
(x + 4 = 2x implies x = 4)
There is an explanation video available below.