Preheat your oven to 350°F (175°C).
In a bowl, whisk together the flour, baking powder, and salt in a separate bowl.
In a separate bowl, cream the butter and sugar until light and fluffy.
Add in the vanilla extract, mixing until combined, then gradually add the dry ingredients.
Press the cookie dough evenly into the bottom of a greased 9-inch round springform pan.
Bake for 12-15 minutes or until lightly golden; remove from oven and let cool.
In a mixing bowl, beat the cream cheese until smooth, then add powdered sugar and lemon juice.
Add the egg and mix until just combined; do not overmix.
Pour the cheesecake filling over the cooled cookie crust, spreading evenly.
Bake for 30-35 minutes until the edges are set and the center is slightly jiggly.
Allow the cheesecake to cool at room temperature, then refrigerate for at least 4 hours before serving.