"Of Things That Matter Most"

http://lds.org/conference/talk/display/0,5232,23-1-1298-7,00.html

The argument: We should simplify our lives, giving precedence to the most important things.

The purpose: To help listeners understand what the most important things in life are, how to focus on them, and the blessings that come from doing so.
The audience: The audience is those caught up in the franticness of day-to-day living.

The goal: The goal is to help people simplify their lives so as to receive greater joy, happiness, and fulfillment out of life.

How he does it: First, President Uchtdorf uses ethos. He does this when he quotes authoritative figures such as Leonardo da Vinci and Elder Dallin H. Oaks to support his points.
Second, President Uchtdorf uses pathos. He does this specifically in his example of NASA commissioning a research project to create a pen that will write in space. He asked the audience what the astronauts did while the pen was being created. He then describes how they used a pencil. This example was effective in that it drew laughter from the crowd as they saw the humor in NASA’s complex mission to create a pen that will write in space.
His evidence was very typical to the audience. Certainly they can relate to his stories of turbulence on airplanes, and the pre-game antics of the great football coach Vince Lombardi. These examples helped make his argument more understandable.
The evidence is also very specific. He provided scripture citations when necessary and footnotes for all of his stories. He introduced each story properly and provided adequate analysis on how the story relates to his point. This further made his argument more understandable.

This speech is very effective. The way President Uchtdorf mixes in humor with relevant examples and spiritual insights makes his argument more interesting to the reader. Certainly the rhetoric he uses helps the audience internalize his message more fully.