In a medium bowl, whisk together the flour, baking powder, baking soda, and salt; set aside. In the bowl of a stand mixer fitted with the paddle attachment, beat the butter, sugar, and vanilla until light and fluffy, about 3-5 minutes. Scrape down the sides of the bowl using a rubber spatula. One at a time, beat in the eggs. Reduce the speed to low and add the flour mixture in 3 batches, alternating with the yogurt; beginning and ending with the flour. Spread the batter evenly into the prepared pan and rap the pan on the counter to eliminate any air bubbles. Bake until the cake pulls away from the sides from the pan, about 35-45 minutes. Cool in the pan for 10 minutes, then run a plastic knife around the edge to loosen the cake. Invert the cake onto a cooling rack and discard the parchment. Cool the cake completely before icing, at least 1 hour.