Heat oven to 325℉/165℃.
Spray two 8-inch round cake pans with baking spray. Set aside.
In a medium bowl, whisk together flour, baking powder, and salt. Set aside.
With an electric mixer, beat butter and sugar until creamy, about 1-2 minutes.
Add in eggs and egg white, one at a time, beating well after each addition.
Add flour alternately with milk, beginning and ending with flour mixture.
Stir in vanilla.
Divide batter evenly between prepared pans.
Bake for 25-30 minutes, or until cake tests done.
Allow to cool in pans.
Turn out onto cooling rack.
Level layers, if needed.