Preheat your oven to 350°F (175°C).
In a medium bowl, whisk together flour, baking powder, and salt. Set aside.
In a large bowl, cream together softened butter and granulated sugar until light and fluffy, about 3-5 minutes.
Add the egg and vanilla extract, mixing until combined.
Gradually mix in the dry ingredient blend until just combined, being careful not to overmix.
Press the dough into the bottom of a greased 9-inch springform pan evenly.
Bake the crust for 10-12 minutes, or until lightly golden. Remove from the oven and let cool.
In a mixing bowl, beat together softened cream cheese, sour cream, powdered sugar, lemon juice, and vanilla extract until smooth and creamy.
Pour the cheesecake filling over the cooled cookie crust, spreading it evenly.
Bake for an additional 40-45 minutes or until the edges look set but the center is slightly jiggly.
Turn off the oven, crack the door, and let the cheesecake cool gradually for about one hour.
Transfer to the fridge and chill for at least 4 hours, or overnight for the best results.
Once chilled, remove the sides of the springform pan, and slice to serve.