Preheat the oven to 350°F (175°C). Grease and flour a 9-inch cake pan.
In a large bowl, cream the butter and sugar together until light and fluffy.
Add the eggs one at a time, beating well after each addition.
Mix in the lemon juice, lemon zest, and vanilla extract.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet ingredients, alternating with the milk.
Pour the batter into the prepared cake pan and bake for 35-40 minutes, or until a toothpick inserted in the center comes out clean.
Allow the cake to cool before removing from the pan.
For an extra citrusy touch, drizzle with lemon glaze before serving.