Preheat your oven to 350°F (175°C) and grease a loaf pan.
In a large bowl, cream the softened butter and granulated sugar until light and fluffy.
Add the eggs one at a time, mixing well after each addition.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the butter mixture, alternating with milk.
Mix in the lemon zest and lemon juice until just combined.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 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 it to a wire rack.
Once cooled, dust with powdered sugar before serving.