A database backup doesn't contain all the transaction log, just part of the active portion. You can't skip restoring that (it's what makes the database consistent), but if the backup succeeded with the source DB having a damaged log file, then the backup should restore ok.
Gail Shaw
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)
SQL In The Wild: Discussions on DB performance with occasional diversions into recoverability