Is this the correct way of rewriting this query in Eloquant?

Is this the correct way of rewriting this query in Eloquant?

SELECT name, email FROM members 
    INNER JOIN member_course 
        ON  members.id = member_course.member_id
    INNER JOIN courses 
        ON courses.id = member_course.course_id
            AND courses.user_id = 3
    GROUP BY members.id    

public function index()
    {
        $members = \DB::table('members')
        ->join('member_course', 'members.id', '=', 'member_course.member_id')
        ->join('courses', 'courses.id', '=', 'member_course.course_id')->where('courses.user_id', '=', auth()->id())
        ->select('name', 'email')
        ->groupBy('members.id')
        ->get();
        return view('members.show', ['members' => $members]);    
    }