Preheat oven to 350 degrees.
Start by creaming 10 tablespoon of butter and 1 ½ cups of sugar together in a large bowl.
Next add in 3 eggs and 1 ½ tablespoon vanilla bean paste. Mix until combined.
In a separate, medium sized bowl, sift 2 ¼ cups of all purpose flour, ½ teaspoon of salt, 1 ½ teaspoon of baking powder and ¼ teaspoon of baking soda together.
Alternate adding 1 cup of buttermilk and the dry ingredients to the wet ingredients a little at a time.
Continue until everything is combined together.
Divide the batter evenly between 3 6″ greased cake pans.
Bake the cakes at 350 degrees for 35-38 minutes, or until a toothpick comes out clean from the centers.
Let the cakes cool in their pans for five minutes and then transfer them to a cooling rack to finish cooling completely.