5. (2021秋•河北月考)若tan(α+2β)=3\tan (\alpha +2\beta )=3tan(α+2β)=3,tan(α−β)=2\tan (\alpha -\beta )=2tan(α−β)=2,则tan(α+5β)=(\tan (\alpha +5\beta )=(tan(α+5β)=( )))