Answer:
Logos appeals to the audience’s reason, building up logical arguments. Ethos appeals to the speaker’s status or authority, making the audience more likely to trust them. Pathos appeals to emotions, trying to make the audience feel angry or sympathetic.
Ethos corresponds to the credibility or character of the speaker. This is the reason that when a seminar is given the main speaker is usually an expert in that particular field of study. This is especially true of the sciences: math, physics, astronomy, medicine, etc... Some areas are based on perceived expertise. This might be when considering moving overseas, a person who is considered credible might have lived in that particular country.
Pathos speaks to the emotional connection with the audience. This can be found in an appeal to one's feelings. An advertisement for support for the homeless comes to mind. It could also be one to Saint Jude's Medical Center or even the local animal shelter. Each of these seeks to tug on the listener's heartstrings to draw them into committing to help. This same method is used in writing to get the reader committed to the storyline.
Logos has to do with the logical argument. Often, this is supported by statistics. As an example, "27% of all smokers will develop some form of breathing problems before the age of 60." Now, such numbers are always subject to critique but they can still be very effective in swaying the reader to the writer's point of view.
Hope this helps! :)