Hi,
Do you have any backups?
Are all the log files deleted or just part of them?
If all log files are deleted, I have no ideas that could restore the DB, you might need a third-party tool that extract .edb file to .pst file.
If just part of them, you could make a backup and run ESEUTIL /P commands to repair it, this link for your referrence: https://www.codetwo.com/admins-blog/how-to-use-exchange-extensible-storage-engine-utilities-eseutil-tool/
https://www.codetwo.com/admins-blog/how-to-use-exchange-extensible-storage-engine-utilities-eseutil-tool/
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