Preheat your oven to 350°F (175°C).
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.
Mix in the vanilla extract.
Gradually add the dry ingredients to the wet ingredients, alternating with the milk.
Pour the batter into a greased and floured cake pan.
Bake for 30 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.