XML: Select only certain "nodes"?

Here is my XML. I have removed A LOT of what is actually in the XML file I am working with, for simplicity:

<State>
  <Center ID="BOCC">
    <Dispatch>
      <Log>
        <LogType>Traffic Collision - Ambulance Responding</LogType>
      </Log>
      <Log>
        <LogType>Traffic Hazard</LogType>
      </Log>
      <Log>
        <LogType>Pedestrian On A Highway</LogType>
      </Log>
    </Dispatch>
  </Center>
  <Center ID="SOMEOTHERCENTER">
    <Dispatch>
      <Log>
        <LogType>Possible Fatality</LogType>
      </Log>
      <Log>
        <LogType>Cargo or Hazardous Materials Spill</LogType>
      </Log>
      <Log>
        <LogType>Pedestrian On A Highway</LogType>
      </Log>
    </Dispatch>
  </Center>
</State>

I need ONLY the text of the LogType’s (FROM CENTER “BOCC” ONLY) to show up in a list component or trace the output… doesn’t matter… I can formulate it myself… I just need to only grab this specific data. I do not want to see any other results (e.g. from SOMEOTHERCENTER). Like show:

Traffic Collision - Ambulance Responding
Traffic Hazard
Pedestrian On A Highway

The actual file I’m working with (and can not alter) is http://media.chp.ca.gov/sa_xml/sa.xml.