Preheat oven to 390°F (200°C). Line the bottom of your springform with baking paper and grease the sides.
Melt the butter and set aside to cool a bit.
Stir together the flour, cocoa powder, baking powder, and salt in a medium bowl and set aside.
In a large mixing bowl, use an electric hand (or stand) mixer to whisk the eggs, sugar and vanilla until pale and fluffy - about 3 to 5 minutes.
Sift the dry ingredients into the egg mixture and gently fold until smooth.
Add the milk to the melted butter and pour onto the batter. Fold until the batter is smooth (do not stir more than necessary). Pour the batter into your prepared cake form and bake for about 30 minutes, until a toothpick comes out clean.
Brown Cheese Frosting
Slice the brown cheese or cut into small pieces. Melt the butter and mix it together with the brown cheese in a small bowl. The heat from the butter should be enough to melt the cheese. If the brown cheese separates or doesn't fully melt you can make it smooth with an electric mixer.
In a large mixing bowl, use an electric mixer to beat the cream cheese, powdered sugar, and brown cheese mixture until smooth.
Once the cake has cooled, add the brown cheese frosting to the top and sides of the cake. Enjoy!