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For cake, preheat oven to 350°F.
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Measure flour, soda, salt, baking powder and sugar into mixing bowl.
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Add softened butter and mix at medium speed of electric mixer until the mixture is a "mealy" consistency.
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Add buttermilk and mashed banana gradually and mix for four minutes; your mixture should be light and fluffy.
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Scrape the mixture from the sides of the bowl and add eggs in two additions, beating after each addition of egg.
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Pour into two greased and floured 9 inch cake pans and bake at 350° for about 25 minutes (cake should be golden brown).
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Remove layers from pan and cool completely, then chill layers before you frost the cake (the icing is thin and it WILL RUN if cake is not cold!).
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For frosting, cream butter and sugar together and slowly add the cream.
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Add the mashed banana gradually, continuing to beat as you add it.
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Add corn syrup and mix enough to blend well (corn syrup will help the thin frosting to "set").
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Frost cake and store in refrigerator.