Have you tried setting the file parameter to point to a different location?
<appender name="myAppender" class="org.apache.log4j.DailyRollingFileAppender">
<param name="DatePattern"value="yyyy-MM-dd"/>
<param name="File"value="./logs/myLogName.log" />
<param name="Append" value="false" />
<layout class="org.apache.log4j.PatternLayout">
<param name="ConversionPattern" value="%-5p : %d{yyyy/MM/dd : HH:mm:ss} : %l : %x : %m%n"/>
</layout>
</appender>