2Brown the butter: add 3/4 cup melted butter to a saucepan, heat over medium heat, stirring gently until browned (about 7-10 minutes, should be simmering).
3In a large bowl, blend together the yogurt, eggs, vanilla extract, sugar, baking powder, 1.5 cups flour, and browned butter until smooth.
4Coat the blueberries with 1 tablespoon of flour.
5Carefully fold the coated blueberries into the batter.
6Line an 8-inch cake pan with parchment paper or coat with butter.
7Pour the batter into the prepared cake pan.
8Bake for about 70 minutes or until a toothpick inserted into the center comes out clean.