Issue:

Customer want to know how to enable the audit logs and export the logs via API

Resolution: 

1. We don’t have an API to pull these logs automatic 
2. Logs can be extracted manually from LCS environment monitoring page https://docs.microsoft.com/en-us/dynamics365/fin-ops-core/dev-itpro/lifecycle-services/user-logins
3. As per our discussion also you were able to get same information from Azure Active directly Audit logs Audit logs in Azure Active Directory | Microsoft Docs
4. Please log this Idea in the Ideas portal Ideas (dynamics.com), our product group reviews this database and they take some ideas and create them as features in the new releases, they triage the ideas based on priority, the idea priority increases by votes from other customers and partners, so ideas with high number of votes takes more priority and hence might be included in next releases, 

Please search for the idea first, if another customer or partner already reported it then please vote for it otherwise create your new idea