We can modify the log4j.xml to change the logging to log the messages in the local time zone. Below is an example of such a configuration:
<Property name="geode-pattern">[%level{lowerCase=true} %date{yyyy/MM/dd HH:mm:ss.SSS z}{GMT-7} %memberName <%thread> tid=%hexTid] %message%n%throwable%n</Property>