Hi @Dheeraj ,
Thanks for using Microsoft Q&A forum and posting your query.
II don't see any option directly from UI to route the logs to Storage/ADLS Gen2. We are reaching out to internal team to check if there is a way and will get back to you as soon as we have an update from the team.
Also could you please confirm if you are asking regarding pipeline run logs or Apache spark application (Jobs) logs? In case if your ask is to collect data regarding Synapse pipeline runs/Activtiy runs/Trigger Runs then you can use the diagnostic settings option from Azure portal. You can diagnostic logs for the below metrics to either storage account, Event hubs, Log analytics workspace. Please see below image for more info: