Решите логарифмические уравнения )пожалуйста

1) [latex]log_{1/2}(3x-5) = -2 [/latex] [latex]-1*log_{2}(3x-5) = -2[/latex] [latex]log_{2}(3x-5) = 2*log_{2}(2)[/latex] [latex](3x-5) = 4[/latex][latex]3x = 9[/latex] [latex]log_{2}(3x-5) = log_{2}(4)[/latex] [latex]x = 3[/latex] 2) [latex]log_{3}(3x-5) = log_{3}(x-3)[/latex] [latex](3x-5) = (x-3)[/latex] [latex]2x = 2[/latex] [latex]x = 1[/latex] 3)сделаем замену [latex]lg(x) = t[/latex] [latex]t^{2} - 2t - 3 =0[/latex] [latex]t1 = 3[/latex] [latex]t2 = -1[/latex] получем lgx = t1 = 3 [latex]lg(x) = 3lg(10)[/latex] [latex]lg(x) = lg(1000)[/latex] x = 1000 и lgx = t2 = -1 [latex]lg(x) = -1*lg(10)[/latex] [latex]lg(x) = lg(10^{-1})[/latex] [latex]x = 10^{-1} = \frac{1}{10} [/latex]