-- Recovery model, log reuse wait description, log file size, log usage size 
-- and compatibility level for all databases on instance
SELECT db.[name] AS [Database Name], db.recovery_model_desc AS [Recovery Model], 
db.log_reuse_wait_desc AS [Log Reuse Wait Description], 
ls.cntr_value AS [Log Size (KB)], lu.cntr_value AS [Log Used (KB)],
CAST(CAST(lu.cntr_value AS FLOAT) / CAST(ls.cntr_value AS FLOAT)AS DECIMAL(18,2)) * 100 AS [Log Used %], 
db.[compatibility_level] AS [DB Compatibility Level], db.page_verify_option_desc AS [Page Verify Option]
FROM sys.databases AS db
INNER JOIN sys.dm_os_performance_counters AS lu 
ON db.name = lu.instance_name
INNER JOIN sys.dm_os_performance_counters AS ls 
ON db.name = ls.instance_name
WHERE lu.counter_name LIKE 'Log File(s) Used Size (KB)%' 
AND ls.counter_name LIKE 'Log File(s) Size (KB)%';

Display logfile size and usage via dmv

sql

SQL