Preheat your oven to 350°F (175°C).
Grease and flour two 9-inch round cake pans.
In a large mixing bowl, cream together the softened butter and sugar until light and fluffy.
Add the eggs one at a time, mixing well after each addition.
Stir in the vanilla extract.
In another bowl, sift together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet mixture, alternating with milk.
Mix until just combined, being careful not to overmix.
Pour the batter evenly into the prepared pans.
Bake in the preheated oven for 30-35 minutes, or until a toothpick inserted comes out clean.