Preheat oven to 350. Mix eggs, sugar, cinnamon, and oil in a large bowl. Peel and slice the apples. Add apples to the bowl, stirring as you go to prevent them from browning. Mix together the baking soda and flour. Add this to the bowl. Mix well with a fork until the flour is well incorporated into the wet ingredients. Pour into one 9x13 pan, or 2 round 9" pans. Bake approximately 55 minutes.