Some peels (the heavier ones) need to be done under anesthesia and this adds anesthesia and surgery center fees. Some peels require more post-operative care and that increases their cost.
Lighter peels that do little but require no anesthesia will run you hundreds of dollars. They generally need to be repeated to get more dramatic effects though.
Heavier peels run thousands but have longer down times and change more when all is said and done.
Suffice it to say that you will really need to see a doctor to sort this one out better.