Can each partition have it's own unique IP address as the logging source?

We need each partition to come into our SIEM as a unique IP address and hostname so different user roles do not see log from other partitions. I worked at a place managing their SIEM before her that they created partitions on the F5s and each partition had a hostname and IP address that the logs would come from. How can we replicate that configuration here? e.g. Partition one would be named LTM01 and its logging source IP would be 10.1.1.1, and the next partition would have a hostname of LTM02 and its logging source IP would be 10.1.2.1, etc...