- Preheat your oven to 350°F (175°C). 
- In a mixing bowl, cream together the butter and sugar until light and fluffy. 
- Add the beaten eggs and mashed bananas to the mixture and mix well. 
- In another bowl, sift together the flour, baking soda, and salt. 
- Gradually add the dry ingredients to the banana mixture, mixing just until combined. 
- Stir in the vanilla extract. 
- Pour the batter into a greased baking pan. 
- Bake for 45 minutes or until a toothpick inserted into the center comes out clean. 
- Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.