Preheat the oven to 350°F (175°C). Grease and flour a baking pan.

In a mixing bowl, whisk together the flour, sugar, baking powder, ground cardamom, and salt.

In another bowl, cream the softened butter until light and fluffy. Add the eggs one at a time, mixing well after each addition.

Stir in the milk and vanilla extract into the butter mixture.

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

Pour the batter into the prepared baking pan and smooth the top.

Bake in the preheated oven for 35-40 minutes, or until a toothpick inserted into the center comes out clean.

Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.