Cho a; b; c> 0 đôi một khác nhau và khác 1, khẳng định nào sau đây là khẳng định đúng

A. ${\log }_{\frac{a}{b}}^2\frac{c}{b}.{\log }_{\frac{{\displaystyle b}}{{\displaystyle c}}}^2\frac{{\displaystyle a}}{{\displaystyle c}}.{\log }_{\frac{{\displaystyle c}}{{\displaystyle a}}}^2\frac{{\displaystyle b}}{{\displaystyle a}}=1$

B. ${\log }_{\frac{a}{b}}^2\frac{c}{b}.{\log }_{\frac{{\displaystyle b}}{{\displaystyle c}}}^2\frac{{\displaystyle a}}{{\displaystyle c}}.{\log }_{\frac{{\displaystyle c}}{{\displaystyle a}}}^2\frac{{\displaystyle b}}{{\displaystyle a}}>1$

C. ${\log }_{\frac{a}{b}}^2\frac{c}{b}.{\log }_{\frac{{\displaystyle b}}{{\displaystyle c}}}^2\frac{{\displaystyle a}}{{\displaystyle c}}.{\log }_{\frac{{\displaystyle c}}{{\displaystyle a}}}^2\frac{{\displaystyle b}}{{\displaystyle a}}>-1$

D. ${\log }_{\frac{a}{b}}^2\frac{c}{b}.{\log }_{\frac{{\displaystyle b}}{{\displaystyle c}}}^2\frac{{\displaystyle a}}{{\displaystyle c}}.{\log }_{\frac{{\displaystyle c}}{{\displaystyle a}}}^2\frac{{\displaystyle b}}{{\displaystyle a}}<1$