In the bowl of a stand mixer fitted with the paddle attachment, beat butter and sugars at medium speed until light and fluffy, 3 to 4 minutes, stopping to scrape sides of bowl and paddle. With mixer on medium-low speed, add eggs, one at a time, beating well after each addition. Beat in vanilla.

In a medium bowl, whisk together flour, baking powder, salt, and baking soda. With mixer on low speed, gradually add flour mixture to butter mixture alternately with buttermilk, beginning and ending with flour mixture, beating until just combined after each addition and stopping to scrape sides of bowl. Use immediately.