Logos appeal to the audience's reasoning. For example, I build up a logical argument by presenting facts that I know everyone will agree with, or reason with.
Ethos appeal to the speaker's status, which may make the audience trust them more. For example, I am speaking on a podium, and I say "Because [my profession], this product is [positive adjective] to be used."
Pathos appeal completely to emotions, making the audience feel a certain way. For instance, someone tries to convince me to give them dog treats because they have an adorable puppy.