Preheat your oven to 350°F (175°C). Grease and flour your cake pans.
In a mixing bowl, whisk together the flour, baking powder, and salt.
In another bowl, beat the butter and sugar until light and fluffy. Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.
Gradually add the flour mixture to the butter mixture, alternating with the milk. Begin and end with the flour mixture. Mix until just combined.
Pour the batter into the prepared cake pans. Bake for 30-35 minutes or until a toothpick inserted into the center comes out clean.
Allow the cakes to cool in the pans for 10 minutes, then turn them out onto a wire rack to cool completely.