Question

3㏒1/3 x < ㏒1/3 9 + ㏒1/3 3

Answer 1

$3log_{frac{1}{3}}x textless log_{frac{1}{3}}9+log_{frac{1}{3}}3; ,; ; ; ; ODZ:; x textgreater 0\\log_{frac{1}{3}}x^3 textless log_{frac{1}{3}}27\\x^3 textgreater 27\\x^3-27 textgreater 0\\(x-3)(x^2+3x+9) textgreater 0; ; ; to ; ; x-3 textgreater 0,; tak; kak; ; x^2+3x+9 textgreater 0\\{x^2+3x+9 textgreater 0; ,; tak; kak; ; D=-27 textless 0}\\x textgreater 3\\Otvet:; ; xin (3,+infty )$