Question

2^x + 2^x*4 = 272

Answer 1

2^x+2^x+4=272

=>2^x+2^x.2⁴=272

=>2^x.(2⁴+1)=272

=>2^x.17=272

=>2^x=272:17

=>2^x=16

=>2^x=2⁴

=>x=4

Answer 2

 ta có: \(2^x+2^{x+4}=272\)

       \(\Rightarrow2^x\left(1+2^4\right)=272\)

       \(\Rightarrow2^x\times17=272\)

       \(\Rightarrow2^x=272\div17\)

       \(\Rightarrow2^x=16\)

       \(\Rightarrow2^x=2^5\)

      \(\Leftrightarrow x=5\)

Vậy \(x=5\)