Line 3 (9-inch) round cakepans with wax paper; lightly grease and flour wax paper. Set pans aside.
Stir together first 4 ingredients.
Beat eggs and next 4 ingredients at medium speed with an electric mixer until smooth. Add flour mixture, beating at low speed until blended. Fold in carrot and next 3 ingredients. Pour batter into prepared cakepans.
Bake at 350° for 25 to 30 minutes or until a wooden pick inserted in center comes out clean. Drizzle Buttermilk Glaze evenly over layers; cool in pans on wire racks 15 minutes. Remove from pans, and cool completely on wire racks. Spread Cream Cheese Frosting between layers and on top and sides of cake.