Question

Tìm x , biết : 2 mũ x / 2 mũ 2012 = 1024 ( x lớn hơn hoặc bằng 2012 )

Answer 1

Có: \(\dfrac{2^x}{2^{2012}}=1024\)

\(\Rightarrow\dfrac{2^x}{2^{2012}}=2^{10}\Rightarrow2^x=2^{10}\cdot2^{2012}=2^{2022}\)

\(\Rightarrow x=2022\)

Answer 2

\(\dfrac{2^x}{2^{2012}}=1024\)

\(\Rightarrow2^x=2^{10}.2^{2012}=2^{2022}\)

Vì \(2\ne\pm1;2\ne0\) nên \(x=2022\)

Vậy...........

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Answer 3

\(\dfrac{2^x}{2^{2012}}=1024\)

\(1024=2^{10}\)

\(\dfrac{2^x}{2^{2012}}=2^{10}\)

\(2^x=2^{2012}.2^{10}\)

\(2^x=\left(2\right)^{2012+10}=2^{2022}\)

\(\Leftrightarrow x=2022\)