2n + 2 - 2n = 96
2n . 22 - 2n = 96
2n.(22 - 1) = 96
2n . (4 - 1) = 96
2n . 3 = 96
2n = 96 : 3
2n = 32
2n = 25
==>n = 5
\(2^{n+2}-2^n=96\\ \Leftrightarrow2^n.2^2-2^n.1=96\\ \Leftrightarrow2^n\left(2^2-1\right)=96\\ \Leftrightarrow2^n.3=96\\ \Leftrightarrow2^n=32\Leftrightarrow2^n=2^5\Leftrightarrow n=5\)
Vậy n = 5.