Preheat the oven to 350°F (175°C). Grease and flour a 9-inch round cake pan.

In a 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.

In a separate bowl, combine the flour, baking powder, and salt.

Gradually add the dry ingredients to the butter mixture, alternating with the milk. Mix until just combined.

Stir in the vanilla extract.

Pour the batter into the prepared cake pan and smooth the top.

Bake in the preheated oven for 40-45 minutes, or until a toothpick inserted into the center comes out clean.

Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.