$$3^{x-1}\times5^{2y-3}=225$$
$x=\frac{-2\ln(5)y+\ln(84375)}{\ln(3)}+\frac{2\pi n_{1}i}{\ln(3)}$
$n_{1}\in \mathrm{Z}$
$y=\frac{-\ln(3)x+\ln(84375)}{2\ln(5)}+\frac{\pi n_{1}i}{\ln(5)}$
$n_{1}\in \mathrm{Z}$
$x=\frac{-2\ln(5)y+\ln(84375)}{\ln(3)}$
$y=\frac{-\ln(3)x+\ln(84375)}{2\ln(5)}$