12-24 hours before you plan to make banana bread, mix together sourdough starter, melted butter, eggs, and flour.
Cover with a plate, towel or plastic wrap and allow to ferment on the counter at room temperature for up to 6 hours. Put the batter in the fridge and allow it to ferment for another 6-18 hours.
When you're ready to bake, preheat oven to 350 degrees.
Using a stand mixer with the paddle attachment, add brown sugar, vanilla, mashed bananas, salt, baking powder, and baking soda to mixing bowl. (I highly recommend using a stand mixer because the fermented dough will be stiff and difficult to combine with the other ingredients by hand.)
Set on low to medium speed until completely combined.
Follow the baking instructions above.