Question

 

2^(x-2)-2^(x-1)+2^x=24

Answer 1

2^x/4-2^x/2+2^x=24

2^x=t

t/4-t/2+t=24

t(1-1/2+1/4)=24

t*3/4=24

t=24*4/3=32

2^x=32

x=5