Question

\(2^{n+2}-2^n=24\)

Answer 1

\(2^{n+2}-2^n=24\\ 2^n\left(2^2-1\right)=24\\ 2^n.3=24\\\Rightarrow 2^n=8\\ \Rightarrow2^n=2^3\\ \Rightarrow n=3\)

Answer 2

\(2^{n+2}-2^n=24\)

\(\Rightarrow2^n\left(2^2-1\right)=24\)

\(\Rightarrow2^n.3=24\)

\(\Rightarrow2^n=8\)

\(\Rightarrow2^n=2^3\)

\(\Rightarrow n=3\)