8. Solve the system $\left\{\begin{array}{l}3^{x} \cdot 2^{y}=972 ; \\ \log _{\sqrt{3}}(x-y)=2 .\end{array}\right.$
Solution: $\left\{\begin{array}{l}3^{x} \cdot 2^{y}=972, \\ x-y=3,\end{array},\left\{\begin{array}{l}x=3+y, \\ 3^{3+y} \cdot 2^{y}=9 \cdot 9 \cdot 3 \cdot 4\end{array},\left\{\begin{array}{l}x=3+y, \\ 27 \cdot(3 \cdot 2)^{y}=9 \cdot 3 \cdot 9 \cdot 4,\end{array} 6^{y}=36,\left\{\begin{array}{l}x=5, \\ y=2\end{array}\right.\right.\right.\right.$

Answer: $\{5 ; 2\}$