In my community blog post to persuade a reader to not blame video games for violent tendencies in people, I believe I used a combination of pathos, logos, and ethos.
I appealed to pathos and ethos in combination. I brought up the issue of good parenting to combat any possible violent tendencies. This brings up the ethical concern of being a good parent, and what being a good parent means. This also appeals to a person's emotions by pointing out that people who carry out violent acts may have not been parented well.
I appealed to ethos by pointing out that females play the same video games as males, but the people that carry out violent crimes are primarily males. I also said that not all video games are violent, so it would be unfair to get rid of all video games, if they're not violent.
I don't think that any approach is more important than others. I feel like it's a little easier to appeal to emotion using pathos and ethos. However, it's more difficult to argue with logos, and logos makes for a more sound argument.