Preheat the oven to 350°F (175°C).

In a large mixing bowl, combine the mashed bananas, light brown sugar, eggs, melted butter, and vanilla extract. Mix until well combined.

In another bowl, whisk together the ground cinnamon, ground ginger, ground cardamom, whole-wheat flour, all-purpose flour, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Pour the batter into a greased 9x13 inch baking pan and spread evenly.

Bake for 30 minutes or until a toothpick inserted into the center comes out clean.

While the cake cools, prepare the cream cheese frosting by beating together the softened cream cheese, softened butter, confectioners' sugar, and vanilla extract until smooth and creamy.

Once the cake is completely cool, spread the cream cheese frosting evenly over the top.

Sprinkle additional ground cinnamon, ginger, and cardamom on top if desired.