Question

2^x+2^x+1+2^x+2+2^x+3=120

Answer 1

2^x + 2^x+1 + 2^x+2 + 2^x+3 = 120

=> 2^x ( 1 + 2 + 2² + 2³) = 120

=> 2^x . 15 = 120

=> 2^x = 8 = 2³

=> x = 3

Answer 2

\(2^x+2^x\cdot2^1+2^x\cdot2^2+2^x\cdot2^3=120\)

\(2^x\cdot\left(1+2+4+8\right)=120\)

\(2^x\cdot15=120\)

\(2^x=120:15\)

\(2^x=8\)

\(2^x=2^3\)

\(=>x=3\)