Preheat your oven to 350°F (175°C) and grease a round 9-inch cake pan with butter or non-stick spray. Line the bottom with parchment paper.

In a large mixing bowl, combine Greek yogurt, eggs, granulated sugar, softened butter, and vanilla extract. Whisk until smooth and creamy.

In a separate bowl, sift together all-purpose flour, baking powder, and salt. Mix in lemon zest if desired.

Gradually add the dry mixture to the wet ingredients and gently fold them together using a spatula.

Pour the batter into the prepared cake pan and smooth the top evenly.

Bake for 25-30 minutes until golden brown and a toothpick inserted in the center comes out clean.

Allow the cake to cool in the pan for about 10 minutes before transferring it to a wire rack to cool completely.

Dust the top of your cooled cake with powdered sugar, slice, and serve.