Preheat your oven to 350°F (175°C). Grease and flour a 9-inch round cake pan or line it with parchment paper.
In a large mixing bowl, whisk together the eggs and sugar until the mixture is pale and thick, about 5-7 minutes.
Add the vanilla extract and mix until combined.
Sift the flour and salt together, then gently fold it into the egg mixture using a spatula.
Gradually fold in the melted butter until fully incorporated.
Pour the batter into the prepared cake pan and smooth the top with a spatula.
Bake in the preheated oven for 25-30 minutes, or until the cake is golden brown and a toothpick inserted into the center comes out clean.
Remove from the oven and let the cake cool in the pan for about 10 minutes, then transfer it to a wire rack to cool completely.