Before getting serious with Ana, Logan was allegedly once in a relationship with his Percy Jackson co-star, Alexandra Daddario. According to CelebSuburb, the two were on-off for several years before Logan proposed to the Baywatch actress. They did end up getting engaged in 2016 but eventually, they called it off.

He was also rumored to have dated the daughter of the late Kurt Cobain, Frances Bean Cobain. Though both Logan and Frances never mentioned their relationship, tabloids exclusively confirmed they were an item.