Preheat the oven to 350 degrees and grease a 9" x 5" loaf pan.
Into a large bowl, slice the bananas. Use an electric mixer to mash.
Add the sugar and blend. Let mixture stand for 15 minutes.
Add applesauce and eggs. Mix well.
Blend in the remaining ingredients.
Pour into the prepared loaf pan and bake for 55 minutes.
Remove from the oven and let stand again for 10 to 15 minutes.
Transfer to a wire rack to cool completely before serving.