Preheat oven to 350ºF. Grease a 9 x 5 inch loaf pan and set aside.

In a large bowl, whisk together mashed bananas with melted butter. Add brown sugar and granulated sugar, and whisk to combine. Then, add Greek yogurt, eggs, and vanilla extract, and whisk until fully combined.

In a separate bowl, combine flour, baking soda, and salt. Fold the dry ingredients into the wet ingredients, being careful not to overmix. Fold in the chocolate chips until just combined.

Bake for 50 minutes, or until a knife inserted in the center comes out clean. Allow to cool for 15 minutes before removing from the loaf pan and serving.