To Make the Vanilla Cake:
Preheat your oven to 350 degrees and generously butter a 9-inch springform pan.
Into a large bowl, add your butter and sugar, and cream them together using an electric hand mixer until they are light and fluffy.
Add in your 3 eggs and vanilla, and mix them on low until they are fully incorporated into the butter and sugar mixture.
Next, into a medium-sized mixing bowl, add your flour, baking powder, and salt, and whisk until they are mixed well.
While mixing with a wooden spoon, add the flour mixture and milk to the egg, butter and sugar mixture in alternating batches until they have both been fully incorporated. Be careful not to overmix your batter, as this will create a dense cake.
Pour your finished cake batter into your prepared springform pan, and bake for 25-30 minutes, or until they are just done and a toothpick inserted into the middle comes out clean.
Remove your cake from the oven and allow it to cool while you continue on with the next steps.