Preheat oven to 375°F.
In a small bowl thoroughly whisk together flour, baking soda and salt. Set aside.
In a large bowl cream together butter and 1⅓ cup sugar.
Blend in egg and vanilla.
Add dry ingredients and mix to combine.
Place remaining 3 Tablespoons sugar in a flat bowl or small plate.
Using a 2 teaspoon sized cookie scoop (or rounded teaspoon), scoop out dough, form into balls (approximately 1-inch diameter) then roll in sugar. Place about 2 inches apart on nonstick, parchment lined or lightly buttered cookie sheet. Flatten dough balls so they are about ½ inch thick (the bottom of a glass tumbler works well for this.)
Bake 10 minutes or until cookies are lightly browned.