The 5-6 favourite maintained his unbeaten record to win at Town Moor and give Dettori his sixth win in the Doncaster classic.
The pair won by four lengths to give trainer John Gosden his fifth success at the meeting.
Sir Ron Priestly, ridden by 49-year-old Franny Norton, finished in second, with 40-1 shot Nayef Road in third.
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The one-mile-and-six-furlong race was Logician's fifth win in succession