Preheat your oven to 325°F (165°C).

In a large mixing bowl, beat together the softened butter and sugar for about 3 minutes until light and fluffy.

Mix in the vanilla extract and eggs, blending well after each addition.

Mash the bananas and fold them into the butter-sugar mixture.

In another bowl, whisk together the all-purpose flour, baking soda, and salt.

Gradually add the dry mixture to the wet ingredients, stirring gently until just combined.

Grease a 13x9-inch baking pan and pour the banana bread batter into it, spreading evenly.

Bake in the preheated oven for 30 to 40 minutes, checking doneness with a toothpick.

Let it cool in the pan for about 15 minutes before transferring to a wire rack.