Dawn does unclog a toilet in some cases as long as the clog is not too severe.
The Dawn dish soap can help to break down some clogs in a toilet but more severe clogs require a toilet snake, plunger or even some chemical toilet clog remover.
Simply pour some Dawn Dish soap into the toilet bowel and let it sit for a few hours or even a day and then try plunging the toilet and if it's still clogged then you may need to snake the toilet.
Adding some vinegar as well can help to break down toilet clogs and other drain clogs.
Dawn Dish soap and vinegar along with some boiling hot water can unclog a drain safely and without the harsh chemicals of other drain cleaners.
For this method to work, the drain needs to be cleared of
Squirt dish soap down the clogged drain followed by some vinegar and then pour boiling water down the drain.
Tools that are needed to unclog a drain are drain snake, plunger, drain auger, drain claw and some drain cleaning chemicals or vinegar and baking soda, bleach etc.
Some clogs in drains can be cleaned and cleared with vinegar and baking soda or bleach or other drain cleaners while other clogs may need a drain snake, plunger or drain cleaning auger.