Preheat the oven to 350°F (175°C).

In a mixing bowl, combine the yellow cake mix, melted butter, and 1 egg. Mix until well combined and smooth.

Pour the cake batter into a greased 9x13 inch baking pan and spread it evenly across the bottom.

In another bowl, beat the softened cream cheese with the remaining 2 eggs and vanilla extract until creamy.

Gradually add the powdered sugar to the cream cheese mixture while mixing.

Gently pour the cream cheese mixture over the cake batter.

Place the pan in the preheated oven and bake for about 40 minutes until the edges are golden brown.

Remove the cake from the oven and let it cool for at least 15 minutes before slicing.