ASM logs

Hi THE_BLUE , 

It has a limit and this couldn't be changed , if you reach to that limit a clean process will delete the older logs , this is the limits ( 5 GB for Physical appliances / 2 GB for VEs ) which nearly equal = 3 millions records can be saved. 

Have a look on this articles : 
- https://my.f5.com/manage/s/article/K000132357
- https://my.f5.com/manage/s/article/K01121054

My recommendation is to avoid recording all requests , and do that for illegal only to maintain your log storage. 

by the way Bigip is not a Log storage and this should be done by remote SIEM solution. 

Actually for a virtual edition the disk size can be increased but better check for support before that and as Mohamed_Ahmed_Kansoh  mentioned SIEM or BIG-IQ is the best option.

Extending disk space on BIG-IP VE (f5.com)