Реши те пожалуйста систему урав.

Решите задачу:

$\left \{ {{log_xy+log_yx=2,5} \atop {xy=27}} \left.\\ \left \{ {{\frac{log_3y}{log_3x}+\frac{log_3x}{log_3y}=2,5\atop {log_3x+log_3y=3}} \right. \\ \left \{ {{a=log_3x;} \atop {b=log_3y;}} \right. \left \{ {{\frac{a^2+b^2}{ab}=2,5 \atop {a+b=3}} \right. \\........$
$\left[ \begin{gathered} \left\{ \begin{gathered} a=1, \hfill \\ b=2 \hfill \\ \end{gathered} \right. \hfill \\ \left\{ \begin{gathered} a=2, \hfill \\ b=1. \hfill \\ \end{gathered} \right. \hfill \\ \end{gathered} \right.$
$\left[ \begin{gathered} \left\{ \begin{gathered} x=3, \hfill \\ y=9 \hfill \\ \end{gathered} \right. \hfill \\ \left\{ \begin{gathered} y=9, \hfill \\ x=3. \hfill \\ \end{gathered} \right. \hfill \\ \end{gathered} \right.$