Preheat your oven to 350°F (175°C) and grease two 9-inch round cake pans.
In a large bowl, cream together the butter and sugar until light and fluffy.
Add eggs, one at a time, mixing well after each addition.
Stir in the vanilla extract.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet mixture, alternating with milk.
Mix until just combined; do not overmix.
Divide the batter evenly between the prepared pans.
Bake for 30-35 minutes, or until a toothpick inserted in the center comes out clean.
Allow cakes to cool in the pans for 10 minutes before transferring to wire racks.