Preheat your oven to 350°F (175°C) and grease a loaf pan.

In a bowl, cream together the butter and sugar until light and fluffy.

Add the eggs one at a time, mixing well after each addition.

Stir in the lemon zest and juice, and vanilla extract.

In a separate bowl, whisk together the flour, baking powder, baking soda, and salt.

Gradually add the dry ingredients to the wet mixture, alternating with buttermilk.

Pour the batter into the prepared loaf pan.

Bake for 50-60 minutes, or until a toothpick inserted in the center comes out clean.

Let the cake cool in the pan for 10 minutes before transferring to a wire rack.

For a glaze, mix powdered sugar with lemon juice and drizzle over the cooled cake.