Preheat the oven to 350°F (175°C). Line two baking sheets with parchment paper or silicone baking mats.
In a large mixing bowl, whisk together the melted butter, light brown sugar, and granulated sugar until smooth and combined.
Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.
In a separate bowl, sift together the all-purpose flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
Using a cookie scoop or tablespoon, drop rounded balls of dough onto the prepared baking sheets, spacing them about 2 inches apart.
Bake in the preheated oven for 9 to 11 minutes, or until the edges are lightly golden but the centers still look slightly underbaked.
Remove from the oven and allow the cookies to cool on the baking sheets for 5 minutes before transferring them to a wire rack to cool completely.