Question

2^{x} +3*2^{x-3} =22 .

Answer 1

2^x + 3*2^(x - 3) = 22
2^x + 3/8*2^x = 22
2^x * ( 1 + 3/8) = 22
2^x * ( 8/8 + 3/8) = 22
2^x * (11/8) = 22
2^x = (22*8)/11
2^x = 16
2^x = 2^4
x = 4