Preheat and Butter Pan:
Heat oven to 350°F (175°C). Butter a loaf pan.Whisk Dry Ingredients:
In a medium bowl, combine flour, 2 1/2 tsp cinnamon, nutmeg, salt, and baking powder with a whisk.Beat Wet Ingredients:
In a large bowl, beat eggs, 3/4 cup sugar, oil, applesauce, and vanilla until blended and smooth.Combine and Fold Apples:
Pour dry mixture into wet mixture and stir just until combined. Gently mix in apples and half the pecans.Make Topping Mixture:
Mix the other half of pecans with 1 tbsp sugar and 1/4 tsp cinnamon; scatter over batter in pan.Bake and Cool Loaf:
Bake 55-60 minutes until a tester inserted in center comes out clean or with a few moist crumbs. Let cool in pan 10-15 minutes, then turn out onto a rack to cool completely.