text: what is x ? 2 power (x-3)+ 2 power (x-4) + 2 power (x-1) = 11/2 + 11/4 + 11/8 + ... ( continue like this to infiniti) => 2 power x * 2 power (-3) + 2 power x * 2 power (-4) + 2 power x * 2 power (-1) = 11/2+ 11/4 + 11/8 + ...  sn=11/2+11/4+11/8+... --> a1=11/2 , q=1/2   sn=a1/(1-q) sn=(11/2)/(1-1/2) ------> sn=11 2 power x (1/8 + 1/16 + 1/2) = 11 2 power x = 16 x=4