Preheat the oven to 350 degrees F. Grease a 8 1/2 by 4 1/2 inch loaf pan.

In a large bowl, mash the bananas with a fork or pastry blender.

Stir in the melted butter, eggs, yogurt, and vanilla extract.

Add the flour, sugar, baking powder, baking soda, and salt; stir until just combined. Do not overmix.

Pour the batter into the prepared loaf pan.

Bake for about 55 minutes or until a toothpick inserted into the center comes out clean.

Allow the bread to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely before slicing.