Question

2^x+2^x+1+2^x+2=56

 

Answer 1

\(2^x+2^{x+1}+2^{x+2}=56\)

\(2^x+2^x.2+2^x.2^2=56\)

\(2^x.\left(1+2+4\right)=56\)

\(2^x.7=56\)

\(2^x=8\)

\(=>2^x=2^3\)

\(=>x=3\)

Answer 2

`2^x+2^x*2+2^x*2^2=56`

`2^x+2^x*2+2^x*4=56`

`2^x*(1+2+4)=56`

`2^x*7=56`

`2^x=56 \div 7`

`2^x=8`

`2^x=2^3`

`-> x=3`