Preheat the oven to 350ºF. Spray a 9x13 baking pan with cooking spray.
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.
Pour the batter into the prepared pan and spread evenly.
Bake for 40-45 minutes.
Allow the cake to cool and then sprinkle the top with powdered sugar.
Store in an airtight container at room temperature for 2 days, then refrigerate or freeze.
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.**