Question

tìm x

2^x+1+2^x+2=384

Answer 1

2^x+1 + 2^x+2 = 384

2^x * 2 + 2^x * 4 = 2⁷ * 3

2^x * 2 * (1+2) = 2⁷ * 3

2^x * 2 * 3 = 2⁷ * 3

=> 2^x * 2 = 2⁷

2^x = 2⁷ : 2 = 2⁶

^{=> x = 6}

Answer 2

\(2^{x+1}+2^{x+2}=384\)

\(\Leftrightarrow2^{x+1}.\left(1+2\right)=384\)

\(\Leftrightarrow2^{x+1}.3=384\)

\(\Leftrightarrow2^{x+1}=384:3=128\)

\(\Leftrightarrow2^{x+1}=2^7\)

\(\Leftrightarrow x+1=7\)

\(\Leftrightarrow x=7-1=6\)

Vậy \(x=6\)