The First Lady said we should all eat a balanced diet and exercise regularly. This sentence is an:

appeal to ethos

appeal to logos and ethos

appeal to pathos

appeal to pathos and logos

Well:

-Ethos is an appeal to ethics.

-Pathos is an appeal to emotion, and is a way of convincing an audience of an argument by creating an emotional response.

-Logos is an appeal to logic, and is used to persuadean audience by reason.

So I'm going to go with logos and ethos.