Question

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

Answer 1

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

\(\Rightarrow2^n\left(4-1\right)=24\)

\(\Rightarrow2^n=8=2^3\)

Vì \(2\ne\pm1;2\ne0\) nên \(n=3\).

Vậy......................

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Answer 2

Giải:

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

\(\Leftrightarrow2^n\left(2^2-1\right)=24\)

\(\Leftrightarrow2^n\left(4-1\right)=24\)

\(\Leftrightarrow2^n.3=24\)

\(\Leftrightarrow2^n=\dfrac{24}{3}=8\)

\(\Leftrightarrow2^n=2^3\)

Vì \(2=2\)

\(\Rightarrow n=3\)

Vậy \(n=3\).

Chúc bạn học tốt!!!

Answer 3

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

\(\Leftrightarrow2^n\left(2^2-1\right)=24\)

\(\Leftrightarrow2^n.3=24\)

\(\Leftrightarrow2^n=8\)

\(\Leftrightarrow2^n=2^3\)

\(\Leftrightarrow n=3\left(tm\right)\)

Vậy ...