According to [Elena's blog post][1] this should be configurable in `logback.xml` and should output a file of the format `sync_audiencemanager.%d{yyyy-MM-dd}.log`

There is more information in the [online documentation][2] ([requires login](http://docportal.sdl.com/sdltridion)).

<!-- language: lang-xml -->

    <appender name="rollingAudiencemanagerLog" class="ch.qos.logback.core.rolling.RollingFileAppender">
      <rollingPolicy class="ch.qos.logback.core.rolling.TimeBasedRollingPolicy">
        <fileNamePattern>${log.folder}/sync_audiencemanager.%d{yyyy-MM-dd}.log</fileNamePattern>
        <maxHistory>${log.history}</maxHistory>
      </rollingPolicy>
      <encoder>
        <pattern>${log.pattern}</pattern>
      </encoder>
      <prudent>true</prudent>
    </appender>
    
        
    <logger name="com.tridion.marketingsolution">
      <appender-ref ref="rollingAudiencemanagerLog"/>
    </logger>


  [1]: http://elenaserghie.blogspot.co.uk/2013/01/sdl-tridion-2011-logs.html
  [2]: http://sdllivecontent.sdl.com/LiveContent/content/en-US/SDL_Tridion_2011_SPONE/task_846D863B76CE4E83BD2FBC09A988FE32