How does lex luthor s intelligence compare to batman s?

The only verified information from the supplied sources is that Lex Luthor is described as a criminal mastermind who manipulates Batman into confronting Superman in the film "Batman v Superman: Dawn of Justice." This indicates that Lex possesses strategic thinking and planning skills. However, the sources do not include any explicit statements about Batman's intelligence levels or a direct comparison between the two characters. Consequently, based solely on the available evidence, we cannot determine how Lex Luthor's intelligence compares to Batman's. Any conclusion about their relative intellect would be speculative and unsupported by the provided data.