1) log3 (x^2-11x+27)=2 2) logx (2x^2+x-2)=3

1)  -x²+3/7x< 0   x(x-3/7)> 0     x> 0       x> 3/7   x∈(3/7; +∞)                                           x< 0     x< 3/7   x∈(-∞; 0)   x∈(-∞; 0)∨(3/7; +∞) 2) 6x²-7x+2< 0   d=1   x₁=2/3     x₂=1/2     (x-2/3)(x-1/2)< 0   x< 2/3     x> 1/2   x∈(1/2; 2/3)                             x> 2/3     x< 1/2   x∉     x∈(1/2; 2/3)                                      

3(t + 2) - t(t + 2) = (t + 2)(3 - t) ab(b - 3) + a²(b - 3) = (b - 3)(ab + a²) = a(b - 3)(b + a) c(c - d) + d(d - c) = c(c - d) + d(-c + d) = c(c - d) - d(c - d) = (c - d) (c - d) k(m - 3n) - p(3n - m) = k(m - 3n) - p(-m + 3n) = k(m - 3n) + p(m - 3n) =   = (m - 3n)(k + p)  5(y + 3) - a(y + 3) - a(y + 3) - x(y + 3) = (y + 3)(5 - a - a - x) =   = (y + 3)(5 - 2a - x)2(x - 4) + c(4 - x) - a(x - 4) = 2(x - 4) + c(-x + 4) - a(x - 4) = = 2(x - 4) - c(x - 4) - a(x - 4) = (x - 4)(2 - c - a)