Preheat your oven to 180°C (356°F).
In a large mixing bowl, beat the eggs and sugar together until light and fluffy.
Add the lemon juice, lemon zest, vegetable oil, and milk to the egg mixture. Mix well.
In a separate bowl, combine the baking powder with the flour.
Gradually add the dry ingredients to the wet mixture, stirring until just combined.
Butter and flour a 25-centimeter (10-inch) baking pan to prevent sticking.
Pour the batter into the prepared pan and smooth the top.
Bake in the preheated oven for 30 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for a few minutes before transferring to a wire rack to cool completely.