In a large bowl, combine flour, baking soda and salt.
In a separate bowl, cream together butter and brown sugar.
Stir in eggs and mashed bananas until well blended.
Stir banana mixture into flour mixture; stir just to moisten.
Pour batter into prepared loaf pan. Bake in preheated oven for 60-65 minutes, until a toothpick inserted into center of the loaf comes out clean. Let bread cool in pan for 10 minutes. Turn out onto a wire rack.