Preheat oven to 325°F.
Lightly grease 8 1/2x4 1/2x2 1/2" pan; dust with flour.
Using electric mixer; beat eggs and sugar in large bowl until thick and light, about 5 minutes.
Mix in smashed bananas, buttermilk, oil and vanilla.
Sift flour, baking powder, baking soda and salt over mixture; beat until just blended.
Transfer batter to prepared pan. Bake bread until golden brown on top and tester inserted into center comes out clean, about 1 hour. Turn bread out onto rack and cool.
By Anna
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