Express log((x^2)/(y^3))+5logy-6log√(xy) as one logarithm

Help me please

log(x^2 / y^3) + 5 * log(y) - 6 * log(sqrt(xy)) =>
log(x^2 / y^3) + log(y^5) - log((xy)^3) =.>
log(x^2 * y^5 / (y^3 * x^3 * y^3)) =>
log(x^2 * y^5 / (x^3 * y^6)) =>
log(1 / (xy)) =>
log((xy)^(-1)) =>
-log(xy)