Preheat oven to 350°F (175°C) and line an 8x8 inch baking pan with parchment paper.
In a medium bowl, combine 1.5 cups flour, 0.5 cup sugar, and salt; cut in the chilled butter using a pastry blender until the mixture resembles coarse crumbs.
Press the dough firmly into the bottom of the prepared pan and bake for 15 minutes until lightly golden.
While the crust bakes, beat the softened cream cheese with 0.25 cup sugar, 1 egg, and 1 tablespoon lemon juice until smooth and aerated.
Spread the cream cheese mixture evenly over the hot, pre-baked crust.
In another bowl, whisk together the remaining 2 eggs, 1 cup sugar, 3 tablespoons lemon juice, lemon zest, 2 tablespoons flour, and baking powder until well combined and slightly frothy.
Pour the lemon mixture gently over the cream cheese layer to maintain distinct layering.
Bake for 25 minutes or until the lemon layer is set and no longer jiggles in the center.
Remove from oven and allow to cool completely at room temperature for 1 hour.
Refrigerate for at least 2 hours to allow the cream cheese layer to firm up before slicing into squares.