Making these incredible cheesecake brownies involves a few simple steps. Follow this guide to ensure success:

1. Preheat the Oven: Preheat your oven to 350°F (175°C). Grease and line a 9×13-inch baking pan with parchment paper for easy removal.

2. Prepare the Brownie Mixture: In a medium saucepan, melt the butter over low heat. Remove from heat and stir in the granulated sugar and brown sugar until well combined.

3. Add Eggs and Vanilla: Beat in the eggs one at a time, followed by the vanilla extract. Mix until smooth.

4. Combine Dry Ingredients: In another bowl, whisk together the flour, cocoa powder, salt, and baking powder. Gradually fold the dry ingredients into the wet mixture until just combined. Do not overmix.

5. Prepare the Cheesecake Layer: In a large mixing bowl, beat the cream cheese until smooth. Gradually add the granulated sugar and mix well. Add the eggs one at a time and stir in the vanilla extract until fully combined.

6. Layer the Mixtures: Pour half of the brownie batter into the prepared baking pan and spread evenly. Spoon the cheesecake mixture over the brownie layer, spreading it out gently. Top with the remaining brownie batter, using a knife or spatula to swirl the mixtures together for a marbled effect.

7. Bake: Place the pan in the preheated oven and bake for 30-35 minutes. A toothpick inserted into the center should come out with moist crumbs but not wet batter.

8. Cool: Remove from the oven and allow the brownies to cool in the pan for about 15-20 minutes. Then, lift them out using the parchment paper and let them cool completely on a wire rack.

9. Slice and Serve: Once cooled, slice the brownies into squares for serving.