Answer
$(32,2)$
Work Step by Step
1. Multiply $ln2$ to the 2nd equation after changing base to natural log, we have $ln\ x=3ln2+2ln\ y$
2. Use the 1st equation with the above to get $5ln\ y=3ln2+2ln\ y$ or $ln\ y=ln2$, thus $y=2$
3. Use the 1st equation to get $ln\ x=5ln2$, thus $x=2^5=32$
4. Check solution $(32,2)$, it fits.
