Preheat oven to 350º F.
In a bowl, sift together the flour, baking powder, and salt.
In a large bowl, beat together butter and sugar until light and fluffy. Add eggs, one at a time, and mix to combine.
Add the dry ingredients in 3 parts, alternating with the buttermilk in 2 parts. Stir in vanilla.
Pour batter into the pan.
Bake for 45-55 minutes, or until a toothpick inserted into the middle sections comes out clean.
When the cake is done, transfer it, still in the pan, to a cooling rack for 10 minutes*. Then remove the cake from the pan by placing a plate over the top of the bundt pan and carefully flipping the pan over. Let cool completely on the wire rack.