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Preheat the oven to 350 F. Grease and line two 6-inch round cake pans with parchment paper.
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In a small bowl, stir together the flour, baking soda, and salt. Set aside.
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In a medium bowl, combine the sugar, butter, and lemon zest and beat until light and fluffy.
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Add the eggs, one at a time, beating after each addition.
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Add in the flour mixture, alternating with the butter milk, beginning and ending with flour. Mix until combined.
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Divide the batter into the prepared cake pans.
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Bake for 25-30 minutes or until a toothpick inserted in the center of the cake comes out clean.
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Cool cakes for 15 minutes in the pan before transferring to a wire rack to cool completely.
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Wrap cooled cakes in plastic wrap and place in the refrigerator.