Tara Kizer gives some advice on proactive administrative measures:
If a database has a high number of Virtual Log Files (VLFs), it can impact the the speed of transaction log backups and database recovery. I once had a database with 75,000 VLFs. I didn’t even know what a VLF was at the time (hence having so many). After rebooting the server, a mission critical database with extremely high SLAs took 45 minutes to complete recovery. We were in the process of opening a support case with Microsoft when the database finally came online. The next day, I contacted a Microsoft engineer and learned about VLFs.
There are a number of helpful tidbits here, so check it out.