Basch was educated at Charles University in Prague and the University of Vienna. From 1857 he studied chemistry at the laboratory of Ernst Wilhelm von Brücke in Vienna, and five years later began the practice of medicine. From that time until 1865 he was assistant to Leopold Ritter von Dittel, Eduard Jäger von Jaxtthal, Ludwig Türck and Eugen Kolisko (18111884) at the University of Vienna.
Basch received his education from Charles University in Prague and the University of Vienna. He studied chemistry under Ernst Wilhelm von Brücke in Vienna, and after five years, began practicing medicine. From that point until 1865, he worked as an assistant to several prominent physicians at the University of Vienna.