Preheat your oven to 350°F (175°C). Grease and line an 8×8 inch baking dish with parchment paper, leaving some overhang for easy removal.
In a large bowl, cream together the softened butter and granulated sugar until light and fluffy.
Add the eggs, one at a time, beating well after each addition.
Mix in the lemon zest and lemon juice until well incorporated.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing just until combined.
Spread the batter evenly into the prepared baking dish.
Bake for 20-25 minutes, or until a toothpick inserted into the centre comes out clean.
Allow the brownies to cool completely in the baking dish on a wire rack.