Preheat your oven to 350 degrees F (175 degrees C) and lightly grease a 9x5-inch loaf pan.

In a large bowl, combine the all-purpose flour, baking soda, and salt. Mix them together to ensure an even distribution of ingredients.

In a separate large bowl, use an electric mixer to beat the brown sugar and melted butter until you achieve a smooth and creamy consistency.

Stir in the beaten eggs and mashed bananas, blending them well with the sugar and butter mixture until they are fully incorporated.

Slowly add the banana mixture to the flour mixture, gently folding the ingredients together until they are just combined. Be cautious not to overmix, as this can result in a dense loaf.

Carefully pour the batter into the prepared loaf pan, ensuring an even distribution.

Place the pan in the preheated oven and bake for approximately 60 minutes. To test for doneness, insert a toothpick into the center of the loaf. If it comes out clean, your banana bread is ready.

Once baked, allow the bread to cool in the pan for 10 minutes. Then, transfer it onto a wire rack to cool completely, allowing the flavors to settle and the bread to achieve the perfect texture.