Preheat the oven to 350?F (175?C). Grease and flour a 9-inch round cake pan.

In a saucepan, melt the butter over medium heat until it turns golden brown and has a nutty aroma. Remove from heat and let cool slightly.

In a mixing bowl, whisk together the browned butter, honey, and sugar until well combined.

Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.

In another bowl, combine the flour, baking powder, baking soda, and salt.

Gradually add the dry ingredients to the wet mixture, alternating with the buttermilk. Mix until just combined.

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

Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.

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