Creating these Pumpkin Cheesecake Brownies involves just a few straightforward steps. Follow these instructions for a delicious result:

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

2. Prepare Brownie Mixture: In a large bowl, combine the melted butter, granulated sugar, and brown sugar. Stir well to combine.

3. Add Eggs: Beat in the eggs, one at a time. Then add the vanilla extract and mix until smooth.

4. Combine Dry Ingredients: In another bowl, whisk together the flour, cocoa powder, salt, and baking powder. Gradually fold this dry mixture into the wet ingredients until just combined.

5. Spread Brownie Layer: Pour the brownie batter into the prepared pan and spread evenly.

6. Make Cheesecake Mixture: In a medium bowl, beat the softened cream cheese and sugar until smooth. Add the pumpkin puree, eggs, vanilla, cinnamon, nutmeg, and salt. Mix until fully combined and creamy.

7. Layer Cheesecake Mixture: Gently spoon the pumpkin cheesecake mixture over the brownie layer. Use a spatula to swirl the two mixtures together slightly for a marbled effect.

8. Bake: Bake in the preheated oven for 30-35 minutes or until the top is set and a toothpick inserted in the center comes out clean or with a few moist crumbs.

9. Cool: Remove from the oven and allow the brownies to cool in the pan for about 15-20 minutes.

10. Slice and Serve: Once slightly cooled, remove the brownies from the pan using the parchment paper and slice them into squares.