Chapter 5, Systems of Equations and Inequalities - Section 5.4 - Systems of Nonlinear Equations - 5.4 Exercises - Page 466: 41

$(\sqrt{10},10)$

If we add the two equations, we get: $3\log x=1.5\\\log x=0.5\\x=10^{0.5}=\sqrt{10}$ Plugging this back into the first one, we get: $\log\sqrt{10}+\log y=1.5\\0.5+\log y=1.5\\\log y=1\\y=10^1=10$ Hence, the solutions are: $(\sqrt{10},10)$