1. **Preparing Crust:** Preheat your oven to 350°F (175°C). Line a 9×9 inch baking pan with parchment paper, leaving some overhang on the sides for easy removal. In a mixing bowl, combine the graham cracker crumbs, granulated sugar, and melted butter. Press the mixture firmly into the bottom of the prepared baking pan.
2. **Baking Crust:** Bake the crust in the preheated oven for 10 minutes. Remove from the oven and let it cool while you prepare the cheesecake filling.
3. **Making Cheesecake Filling:** In a large mixing bowl, beat together the softened cream cheese and granulated sugar until smooth and creamy. Add the eggs, one at a time, beating well after each addition. Stir in the vanilla extract until fully incorporated.
4. **Coloring Cheesecake Batter:** Divide the cheesecake batter evenly into separate bowls, depending on how many colors you want to use. Use food coloring to tint each bowl of batter to your desired colors, creating a rainbow effect.
5. **Layering Cheesecake Batter:** Pour the colored cheesecake batters onto the cooled crust in random patterns, alternating colors to create a rainbow effect. Use a knife or toothpick to gently swirl the colors together for a marbled look.
6. **Baking Cheesecake Bars:** Return the baking pan to the oven and bake the cheesecake bars for 25-30 minutes, or until the edges are set and the center is slightly jiggly.
7. **Cooling and Chilling:** Remove the baked cheesecake bars from the oven and let them cool completely at room temperature. Once cooled, refrigerate the bars for at least 2 hours, or until firm.
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