Preheat the oven to 350°F (175°C)
Grease and flour a cake pan
In a bowl, whisk together flour, sugar, baking powder, and salt
In another bowl, mix eggs, milk, melted butter, and vanilla extract
Combine the wet ingredients with the dry ingredients
Mix until just smooth
Pour the batter into the prepared pan
Tap the pan gently to remove air bubbles
Bake until a toothpick inserted in the center comes out clean
Remove the cake from the oven
Let the cake cool in the pan for a few minutes
Transfer the cake to a wire rack to cool completely
Frost or decorate as desired