Preheat the oven to 350°F (175°C).
In a bowl, mix the yellow cake mix, melted butter, and 1 egg until combined.
Press the mixture into the bottom of a greased 9x13 inch pan.
In another bowl, beat the cream cheese until smooth.
Add the 2 eggs, powdered sugar, vanilla extract, and milk; mix well.
Pour the cream cheese mixture over the cake crust.
Bake for 40 minutes or until the center is slightly jiggly.
Allow to cool completely before slicing.
Dust with powdered sugar before serving.
Enjoy your delicious gooey butter cake!