If I am reading this correctly - then you will need the following to restore successfully:
- Your backup dated 2015-07-31
- All transaction log backups taken from 2015-07-31 through 2015-08-06 (all day)
Once you have those, restore the backup to a temporary database with NORECOVERY. Restore each transaction log backup in order with NORECOVERY. After all files have been restored - RESTORE with RECOVERY.
Validate the database has the data and no further errors...backup the database - and restore from that new backup over your corrupted database.
If the database is in simple recovery model - or you don't have all transaction log backups - you will not be able to restore to current point in time.
Note: to insure no further data is added to the current database - perform a tail-log backup with NORECOVERY. That will take the current database offline after the log backup has completed and prevent any further data being added.