Make the Cake: Preheat oven to 325 degrees F.
Lightly grease a baking dish; set aside.
In a medium bowl, whisk together the flour, baking powder and salt; set aside.
Using an electric mixer, beat the butter, sugar and vanilla extract on medium speed for 8 to 10 minutes, or until very pale and creamy.
Scrape down the sides of the bowl.
Add the eggs, one at a time, beating well after each addition.
Reduce the mixer speed to low and gradually add the flour mixture, mixing until just combined.
Stir the batter with a rubber spatula to ensure all of the ingredients are incorporated.
Transfer the cake batter to the prepared baking dish and bake until a skewer inserted into the center comes out clean, 40 to 50 minutes.
Allow the cake to cool completely in the pan.