Se rescrie ecuatia: [tex]5^x+\dfrac{1}{5^2}=2[/tex]
Facem notatia: [tex]t=5^x,\ \ t>0[/tex]
Rescriem: [tex]t+\dfrac{1}{t}=2[/tex]
Inmultim ecuatia cu t: [tex]t^2+1=2t[/tex]
Rearajam: [tex]t^2-2t+1=0[/tex]
Observam patratul, sau rezolvam ecuatia dupa metoda obisuita:
[tex](t-1)^2=0\\ \\ \Rightarrow t=1\\ \\ \Rightarrow 5^x=1\\ \\ \Rightarrow x=0.[/tex]
