According to Elena's blog post 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 (login required) here.

<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>

According to Elena's blog post 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 (requires login).

<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>

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

I am not sure of the format though.

It also appears from the naming convention that this may also be for the synchronisation only.

According to Elena's blog post 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 (login required) here.

<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>