Preheat the oven to 350°F.
In a large bowl, whisk together the eggs for 1-2 minutes, until they become a shade lighter in color, from orange to light yellow.
Add in the grated carrots and ginger and whisk to combine. Add in the sugars, oil and tamarind paste and mix very well.
In the same bowl, pour in the flour, the ground ginger, cardamom, cinnamon, baking powder and salt and use the whisk to gently stir into a thick batter.
In a parchment-lined (or greased) 9" round cake pan, pour in the batter. To use a different kind of baking dish, see recipe notes.
Add dots of tahini all over the top of the batter and use a toothpick to swirl into a loopy design (see blog post for photos).
Bake at 350°F for 48-52 minutes or until you can insert a toothpick in the center and it comes out clean.
Let cool before slicing and serving, and enjoy!