Răspuns:
1+2+2²+2³+...... +2ⁿ =2ⁿ⁺¹-1 -formula folosita
(2013⁰+1+2+2²+2³+...... +2¹⁰⁰)·x=2¹⁰¹
1+2+2²+2³+...... +2¹⁰⁰=2¹⁰¹-1
2013⁰=1
(1+2¹⁰¹-1)·x=2¹⁰¹
2¹⁰¹·x=2¹⁰¹=>x=2¹⁰¹:2¹⁰¹=> x=1