Pomocy pilne!!! Rozwiąż równanie 81 do potęgi x-1= (3√3) do potęgi x+2

[latex]81^{x-1} = (3sqrt{3})^{x+2}\\(3^{4})^{x-1} = (3*3^{frac{1}{2}})^{x+2}\\3^{4(x-1)}= (3^{frac{3}{2}})^{x+2}\\3^{4(x-1)} = 3^{frac{3}{2}(x+2)}\\4(x-1) = frac{3}{2}(x+2) |*2\\8(x-1) = 3(x+2)\\8x - 8 = 3x + 6\\8x-3x = 6+8[/latex] [latex]5x = 14 /:5\\x = 2frac{4}{5} = 2,8[/latex]