Shut down the source database and then use, for example, the copy-back-and-apply-log command, to restore a backup of it and prepare the data.

Edit the source my.cnf file and comment out log-bin, so that the replicas do not receive twice the binary log needed to recover the source.

Replication in the replicas must be stopped temporarily while you pipe the binary log to the source. In the replicas, do:

mysql> STOP SLAVE;

Start the source mysqld on the restored backup:

$ mysqld
…
InnoDB: Doing recovery: scanned up to log sequence number 0 64300044
InnoDB: Last MySQL binlog file position 0 5585832, file name
./omnibook-bin.000002
…

InnoDB prints the binary log file (./omnibook-bin.000002 in this case) and the position (5585832 in this case) it was able to recover to.

Pipe the remaining of the binary log files to the restored server. The number of remaining binary log files varies depending on the length of the timespan between the last backup and the time to which you want to bring the database up to date. The longer the timespan, the more remaining binary log files there may be. All the binary log files, containing all the continuous binary log positions in that timespan, are required for a successful restore.

You also need to supply the starting position in the binary log by which the piping of the events should start. Deduce that information from the meta/backup_variables.txt file in the backup you just restored in step 1 above (access backup_variables.txt by, for example, going to the temporary backup directory you specified with --backup-dir during the restore, and find the file under the meta folder): look for the entry binlog_position=value in meta/backup_variables.txt, and supply value to mysqlbinlog with the --start-position option.

For example, if there are two more binary log files, omnibook-bin.000003 and omnibook-bin.000004 that come after omnibook-bin.000002 and the recovery in step 4 above has ended by 5585834 according to the backup_variables.txt file, pipe the binary log with a single connection to the server with this command:

          
$ mysqlbinlog --start-position=5585834 /mysqldatadir/omnibook-bin.000002 \
  /mysqldatadir/omnibook-bin.000003 /mysqldatadir/omnibook-bin.000004 | mysql

See Point-in-Time (Incremental) Recovery for more instructions on using mysqlbinlog.

The source database is now recovered. Shut down the source and edit my.cnf to uncomment log-bin.

Start the source again.

Start replication in the replicas again:

mysql> START SLAVE;