Preheat oven to 350°F (175°C) and line a cupcake tin with liners.
In a medium bowl, whisk together the flour, baking powder, and salt.
In a separate large bowl, cream together the butter and sugar until light and fluffy.
Beat in the eggs one at a time, then stir in the vanilla.
Gradually add the dry ingredients to the wet ingredients, alternating with the milk, beginning and ending with the dry ingredients. Mix until just combined.
Fill the cupcake liners about 2/3 full.
Bake for 20-25 minutes, or until a wooden skewer inserted into the center comes out clean.
Let cool in the tin for a few minutes before transferring to a wire rack to cool completely.