In a large bowl (ideally with an electric mixer) cream together the butter and sugars on medium speed until combined. Blend in the eggs and vanilla. Scrape down the sides of the bowl as needed. Next with the mixer on low speed, add the flour, baking soda and baking powder until combined. The cookie batter will become very thick. You can either bake immediately or cover and refrigerate at least an hour, up to overnight. I prefer baking with chilled dough but it is not necessary with this dough.