[tex]\it 200-\Big(\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{4}{5}+\ ...\ +\dfrac{1005}{1006}\Big)=(\underbrace{ \it 2+2+2+\ ...\ +2}_{1004\ termeni})-\\ \\ \\ -\Big(\underbrace{ \it \dfrac{2}{3}+\dfrac{3}{4}+\dfrac{4}{5}+\ ...\ +\dfrac{1005}{1006}}_{1004\ termeni}\Big)=(2-\dfrac{2}{3})+(2-\dfrac{3}{4})+(2-\dfrac{4}{5})+\ ...\ +(2-\dfrac{1005}{1006})=\\ \\ \\ =\dfrac{4}{3}+\dfrac{5}{4}+\dfrac{6}{5}+\ ...\ +\dfrac{1007}{1006}[/tex]
[tex]\it a=\Big(\dfrac{4}{3}+\dfrac{5}{4}+\dfrac{6}{5}+\ ...\ +\dfrac{1007}{1006}\Big):\Big(\dfrac{4}{3}+\dfrac{5}{4}+\dfrac{6}{5}+\ ...\ +\dfrac{1007}{1006}\Big)=1[/tex]
[tex]\it x^a=4096 \Rightarrow x^1=4096 \Rightarrow x=4096[/tex]