01 - Preheat oven to 350°F. Grease and flour a 9x5-inch loaf pan.
02 - Whisk together flour, baking powder, baking soda, and salt in a medium bowl. Set aside.
03 - In a large bowl, beat softened butter and granulated sugar together until light and fluffy, approximately 3 minutes.
04 - Add eggs one at a time, mixing thoroughly after each addition. Stir in lemon zest, lemon juice, and vanilla extract.
05 - Add dry ingredients alternately with milk to the wet mixture, beginning and ending with the flour mixture. Mix until just combined to avoid overmixing.
06 - Transfer batter into prepared pan and smooth the top. Bake for 40 to 45 minutes, or until a toothpick inserted in the center comes out clean.
07 - Allow the cake to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.
08 - Whisk powdered sugar and lemon juice together until smooth.
09 - Drizzle the glaze evenly over the cooled cake. Let set before slicing.