Preheat your oven to 350°F (175°C).

Grease and flour your 9-inch round cake pans.

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

Beat in the eggs one at a time, mixing well after each addition.

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

Gradually add the dry ingredient mixture to the butter mixture, alternating with the milk, starting and ending with the flour.

Add the vanilla extract to the batter and mix until well combined.

Divide the batter evenly between the prepared cake pans.

Bake in the preheated oven for 25-30 minutes, or until a toothpick inserted into the center comes out clean.

Let the cakes cool in the pans for about 10 minutes before transferring them to a cooling rack.