Logan reveals to the cast that his famous relative is "a very well-known country music star" whose biggest award is an Academy of Country Music Award. While the singer, who surprisingly looks a lot like Tom Holland, initially says that his famous relative is his grandfather, he later admits that it's actually his cousin. During the fashion show, Logan's clue is a black cowboy hat.
Logan's identity remains a secret to his castmates in sixth episode, but the country singer has proved to be helpful in guessing his castmates' relatives. During the lie-detector test, he shares that his celebrity relative is currently making music and that his celebrity relative's name has not been mentioned in the house before.
In the seventh episode, Logan tells the cameras that his clue in the estate sale is a palm-leaf cowboy hat. During the eighth episode, L.C. receives Logan's clue from the clue room and it reads, "Dirt Road Anthem Country Artist." It's also revealed in the episode that his celebrity relative has recorded a song with Kelly Clarkson.
In the final episode, Logan is eliminated by L.C. While she admittedly is not familiar with country music artists, she explains that she pieced together clues from throughout their time in the house to eventually figure out Logan's celebrity relative. "My name is Logan Crosby, and Jason Aldean is my cousin," he tells his fellow contestants. "You may know my celebrity relative from songs like 'Dirt Road Anthem' and 'Don't You Wanna Stay.' I didn't win, but I think Jason would be proud." In a confessional, Logan tells viewers, "This was the most incredible experience I've ever had. I will never in my life forget this."
Answer: Logan is Jason Aldean's cousin.
