I think the logical appeal is the correct question as it appeals to the audience's minds, it is based on the practical or functional reasoning ability of people. To persuade someone of doing something appealing to his reason means you need to make logic and verifiable statements, statements that can be compared with reality in an explicit way. These statements are based on empiric evidence. One way to put it in mathemathical thinking, you can show someone that A + B = C, this is based on logic, is a fact that is not altered by emotions.