7.146. $\left\{\begin{array}{l}\log _{\sqrt{x}}(x y)=8 \\ \log _{3} \log _{1 / 9} \frac{x}{y}=0 .\end{array}\right.$

The system of equations is:
\[
\left\{\begin{array}{l}
\log _{\sqrt{x}}(x y)=8 \\ 
\log _{3} \log _{1 / 9} \frac{x}{y}=0 .
\end{array}\right.
\]