Preheat your oven to 350°F (175°C) and grease the cake pans.

In a large mixing bowl, cream together the softened butter and sugar until light and fluffy.

Add the eggs and vanilla extract to the mixture and mix until well combined.

In another bowl, whisk together the flour, baking powder, and salt.

Gradually add the dry ingredients to the wet mixture, alternating with milk, and mix until just combined.

In a separate bowl, beat together the cream cheese and sugar until smooth.

Add the eggs and vanilla extract to the cream cheese mixture and mix until fully incorporated.

Pour half of the cake batter into each prepared pan, then add a layer of cheesecake filling over the batter. Top with the remaining cake batter.

Bake for 60 minutes or until a toothpick inserted in the center comes out clean.

Let the cake cool completely before slicing.