Preheat your oven to 350°F (175°C) and grease your chosen baking pan.
In a large mixing bowl, whisk together the flour, baking powder, salt, ground ginger, and toasted ground cardamom until evenly combined.
In a separate bowl, beat the eggs with the sugar until the mixture is smooth, slightly pale, and fragrant, about 2 minutes.
Stir in the melted butter into the egg mixture, then fold in the grated apples, mixing gently to incorporate all flavors evenly.
Gradually add the dry ingredients to the wet mixture, folding gently with a spatula until just combined. Do not overmix to keep the cake tender.
Pour the batter into your prepared baking pan, spreading evenly with a spatula and smoothing the top.
Bake in the preheated oven for about 45 minutes, or until the top is golden, a toothpick inserted in the center comes out clean, and the edges pull away slightly.
Remove the cake from the oven and let it cool in the pan for approximately 10 minutes, then transfer to a wire rack to cool completely.
Slice the cake once cooled and enjoy its moist interior with crisp edges and aromatic spice accents.