Answer:
While writing a persuasive piece, the appeal you should use to show the logic of your argument is "logos".
Step-by-step explanation:
Aristotle defined three sorts of appeals employed to persuade an audience: logos, pathos, and ethos. Since our intention is to show the logic in our arguments, I believe the best appeal to be logos.
Pathos appeals to the audience's emotions, and ethos to the audience's ethics. Logos appeals to logic by presenting reasonable arguments and supporting evidence. The writer walks the reader through the arguments as if they are a path to reach a logical conclusion.