[tex] {( log_{3}x) }^{2} + log_{3}(x) - 2 = 0[/tex]
[tex]x>0[/tex]
[tex] log_{3}(x) = t \: ,t > 0[/tex]
[tex] {t}^{2} + t - 2 = 0[/tex]
[tex] {t}^{2} + 2t - t - 2 = 0[/tex]
[tex]t(t + 2) - (t + 2) = 0[/tex]
[tex](t + 2)(t - 1) = 0[/tex]
[tex]t + 2 = 0 = > t = - 2 \: nu \: convine[/tex]
[tex]t - 1 = 0 = > t = 1[/tex]
[tex] = > log_{3}(x) = 1 = > x = 3[/tex]
