Answer
$(81,3)$
Work Step by Step
1. Multiply $ln3$ to the 2nd equation after changing base to natural log, we have $ln\ x=2ln3+2ln\ y$
2. Use the 1st equation with the above to get $4ln\ y=2ln3+2ln\ y$ or $ln\ y=ln3$, thus $y=3$
3. Use the 1st equation to get $ln\ x=4ln3$, thus $x=3^4=81$
4. Check solution $(81,3)$, it fits.