Don't be fooled

How are traditional soaps and synthetic detergents different?

Ordinary soap is made by combining fats or oils and an alkali, such as lye. The fats and oils, which may be from animal, vegetable, or mineral sources, are degraded into free fatty acids, which then combine with the alkali to form crude soap. 

The lye reacts with the oils, turning what starts out as liquid into blocks of soap. When made properly, no lye remains in the finished product. In the past, people commonly made their own soap using animal fats and lye that had been extracted from wood ashes. 

Today there are very few true soaps on the market. Most body cleansers, both liquid and solid, are actually synthetic detergent products. Detergent cleansers are popular because they make suds easily in water and don't form gummy deposits. Some of these detergent products are actually marketed as "soap" but are not true soap according to the regulatory definition of the word. 

Source FDA  https://www.fda.gov/cosmetics/cosmetic-products/frequently-asked-questions-soap