You Do Need power plug adapter while traveling from Uruguay to Luxembourg.

Here is Why You Need An Adapter

The outlet and plug type used in Luxembourg are C and F and in Uruguay are C, F and L. This is how they look like.

Uruguay

In Uruguay, outlets of type C, F and L are in use.

Type C

Type F

Type L

Luxembourg

In Luxembourg, outlets of type C and F are in use.

Type C

Type F