Preheat oven to 350°F (175°C). Grease and flour a 9x5 inch loaf pan or line it with parchment paper.
Cream butter and sugar together in a large bowl until light and fluffy (about 3-5 minutes).
Add eggs one at a time, beating well after each addition.
Add eggs one at a time, beating well after each addition.
In a separate bowl, whisk together flour, baking powder, and salt.
Combine wet and dry ingredients: Add the dry ingredients to the creamed mixture alternately with milk, starting and ending with flour mixture. Mix just until combined.
Add lemon juice, zest, and vanilla. Mix gently.
Pour batter into the prepared loaf pan and smooth the top.
Bake for 50–60 minutes, or until a toothpick inserted in the center comes out clean.
Cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
(Optional) Glaze: Mix powdered sugar and lemon juice until smooth. Drizzle over the cooled cake.