1)lg(13x-x^2) больше 2 lg 2+2 lg 3 2)log9(x^2-6x+8)⩽0,5

1) lg (13x - x²) > 2 lg 2 + 2 lg 3 lg (13x - x²) > lg 4 + lg 9 lg (13x - x²) > lg 36 13x - x² > 36 x² - 13x + 36 < 0 (x - 4)(x - 9) < 0 x ∈ (4; 9) 2) log₉(x² - 6x + 8) ≤ 0,5 0 < x² - 6x + 8 ≤ 3 [latex] \left \{ {{x^2-6x+8 \ \textgreater \ 0} \atop {x^2-6x+5 \leq 0}} \right. \\ \\ \left \{ {{(x-2)(x-4)\ \textgreater \ 0} \atop {(x-1)(x-5)\leq 0}} \right. \\ \\\left \{ {{xE(-oo; 2)U(4;+oo)} \atop {xE[1;5]}} \right.[/latex] x ∈ [1 ; 2) ∪ (4 ; 5]