Creating these amazing cheesecake brownies is a simple process if you follow these steps:

1. Preheat the Oven: Set your oven to 350°F (175°C) and grease a 9×13-inch baking dish.

2. Melt the Butter: In a microwave-safe bowl, melt the unsalted butter. Let it cool slightly.

3. Mix Dry Ingredients: In a large bowl, combine the flour, cocoa powder, and salt, mixing well.

4. Combine Wet Ingredients: In another bowl, whisk together the melted butter, granulated sugar, eggs, and vanilla extract until smooth.

5. Add the Dry Ingredients: Gradually add the dry mixture to the wet mixture, stirring until just combined.

6. Prepare the Cheesecake Mixture: In a separate bowl, beat the softened cream cheese and granulated sugar until creamy. Add the eggs and vanilla extract, mixing until smooth.

7. Layer the Batter: Pour half of the brownie batter into the prepared baking dish, spreading it evenly. Then, add the cheesecake mixture on top, smoothing it out gently.

8. Swirl the Layers: Drop spoonfuls of the remaining brownie batter on top of the cheesecake layer. Use a knife or toothpick to swirl the two layers together for a marbled effect.

9. Bake: Place the baking dish in the preheated oven and bake for 30-35 minutes or until a toothpick comes out mostly clean.

10. Cool and Slice: Allow the brownies to cool in the dish for about 10-15 minutes before cutting them into squares. Enjoy warm or chilled!