Question

\(5\).\(2^{n+1}\). \(2^{-2}\)- \(2^n\)= 384

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Answer 1

\(5\cdot2^{n+1}\cdot2^{-2}-2^n=384\)

\(5\cdot2^n\cdot2^{-1}-2^n=384\)

\(2^n\left(\frac{5}{2}-1\right)=384\)

\(2^n\cdot\frac{3}{2}=384\)

\(2^n=256\)

\(n=8\)