Preheat your oven to 350°F (175°C) and line a muffin tin with cupcake liners.
In a large 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, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet mixture, alternating with the milk.
Mix until just combined; do not overmix.
Fill each cupcake liner about two-thirds full with batter.
Bake in the preheated oven for 18-20 minutes, or until a toothpick comes out clean.
Remove from the oven and allow to cool in the pan for 5 minutes, then transfer to a wire rack.