Red Velvet Cake

Ingredients

• 2 sticks plus 2 tbsp unsalted butter, at room temperature
• 3 tbsp red food coloring
• 3 cups plus 1/4 cup all-purpose flour
• 3 large eggs
• 1/2 cup dutch-processed cocoa powder
• 1 3/4 cups buttermilk
• 1 1/2 tsp baking powder
• 1 1/4 pounds cream cheese, at room temperature (for frosting)
• 1 1/2 tsp baking soda
• 2 1/2 sticks unsalted butter, at room temperature (for frosting)
• 1/2 tsp salt
• 2 tsp vanilla extract (for frosting)
• 1 (1 pound) box light brown sugar
• 1 (2-pound) bag (about 7 1⁄4 cups) confectioners’ sugar (for frosting)