In a medium-size bowl, blend together the eggs, sugar, oil and vanilla.
In a separate bowl, sift together the flour, baking soda, cinnamon and salt.
Add the flour mixture to the egg mixture mix just until blended.
Fold in the apples and nuts.
Spray a 9x13 pan with cooking spray.
Pour the batter into a 9x13 pan and spread evenly.
Bake at 350 degrees for 35-38 minutes.
Allow the cake to cool and then sprinkle the top with powdered sugar.
The calories shown are based on the cake being cut into 15 pieces, with 1 serving being 1 slice of cake. Since different brands of ingredients have different nutritional information, the calories shown are just an estimate. **We are not dietitians and recommend you seek a nutritionist for exact nutritional information.**