Preheat the oven to 350°F (175°C). Grease a 9‑inch round cake pan and line the bottom with parchment paper.
Whisk together flour, baking powder, and salt in a large bowl.
Beat melted butter and sugar together until light and fluffy.
Add eggs one at a time, beating well after each, then stir in vanilla extract.
Alternately add the dry ingredients and milk to the butter mixture, beginning and ending with the dry ingredients. Mix just until combined.
Pour the batter into the prepared pan and smooth the top.
Bake for 30‑35 minutes, or until a toothpick inserted in the center comes out clean.
Cool the cake in the pan for 10 minutes, then turn onto a cooling rack to cool completely.