When a plunger fails to clear a toilet clog try a toilet auger which reaches deeper into the drain line. Insert the auger cable into the bowl and crank the handle to break through the obstruction. Hot water mixed with dish soap can dissolve organic blockages. Enzyme-based drain cleaners work on organic matter without damaging pipes. If the clog persists it may be in the main sewer line requiring professional drain cleaning with a motorized snake.