Question

Log по основанию х+1 (х^2-х+1)>1

Answer 1

$log_{x+1}(x^2-x+1) textgreater 1\ D(y): x+1 textgreater 0, x+1 neq 1, x^2-x+1 textgreater 0\ x textgreater -1, x neq 0\ xin(-1;0)U(0;+infty)\ log_{x+1}(x^2-x+1) textgreater log_{x+1}(x+1)\ 1) 0 textless x+1 textless 1, -1 textless x textless 0\ x^2-x+1 textless x+1\ x^2-2x textless 0\ x(x-2) textless 0\ left { {{xin(0;2)} atop {xin(-1;0)}} right. \ xin varnothing\ 2) x+1 textgreater 1, x textgreater 0\ x^2-x+1 textgreater x+1\ x^2-2x textgreater 0\ x(x-2) textgreater 0\ left { {{xin(-infty;0)U(2;+infty)} atop {x textgreater 0}} right. \ xin(2;+infty)$