Hello @Kim_Moberg ,
As for today CME support only single primary log server and alert server.
If CME Log Server configuration applied as part of provisioning cycle CME has to perform "Install database" action on Log Server machine. In current CME version install database can be done by using custom management script.
You can find description on how to apply custom management script in the CME admin guide
We understand the complexity of the current solution and in a few weeks releasing CME with multiple Primary, Backup, Alert log servers support and without any need in running custom management script.
I would like to propose you to get the new CME with the extended log servers configurations as one of the firsts. If you are interested please contact me in private message.
Thanks,
Roman