Preheat oven to 375 degrees F (190 degrees C). Sift together flour, baking soda, and salt.
Stir together white sugar, brown sugar, applesauce, vanilla extract, and egg white until smooth. Combine the flour, baking soda and salt; stir into the batter until moistened. Mix in chocolate chips last. Drop dough by rounded teaspoonfuls onto an ungreased cookie sheet.
Bake in preheated oven until golden brown, 8 to 10 minutes.