RMAN> RUN { RESTORE DATABASE;RECOVER DATABASE;alter database open;}

Starting restore at 24-FEB-12
using target database control file instead of recovery catalog
allocated channel: ORA_DISK_1
channel ORA_DISK_1: SID=133 device type=DISK

channel ORA_DISK_1: starting datafile backup set restore
channel ORA_DISK_1: specifying datafile(s) to restore from backup set
channel ORA_DISK_1: restoring datafile 00001 to /u01/app/oracle/oradata/PROD/system01.dbf
channel ORA_DISK_1: restoring datafile 00002 to /u01/app/oracle/oradata/PROD/sysaux01.dbf
channel ORA_DISK_1: restoring datafile 00003 to /u01/app/oracle/oradata/PROD/undotbs01.dbf
channel ORA_DISK_1: restoring datafile 00004 to /u01/app/oracle/oradata/PROD/users01.dbf
channel ORA_DISK_1: reading from backup piece /u01/app/oracle/flash_recovery_area/PROD/backupset/2012_02_24/
o1_mf_nnndf_TAG20120224T152404_7ngqkwdv_.bkp
channel ORA_DISK_1: piece handle=/u01/app/oracle/flash_recovery_area/PROD/backupset/2012_02_24/
o1_mf_nnndf_TAG20120224T152404_7ngqkwdv_.bkp tag=TAG20120224T152404
channel ORA_DISK_1: restored backup piece 1
channel ORA_DISK_1: restore complete, elapsed time: 00:00:35
Finished restore at 24-FEB-12

Starting recover at 24-FEB-12
using channel ORA_DISK_1

starting media recovery

archived log for thread 1 with sequence 2 is already on disk as file 
/u01/app/oracle/oradata/PROD/redo02.log
archived log file name=/u01/app/oracle/oradata/PROD/redo02.log thread=1 sequence=2
media recovery complete, elapsed time: 00:00:01
Finished recover at 24-FEB-12

RMAN-00571: ===========================================================
RMAN-00569: =============== ERROR MESSAGE STACK FOLLOWS ===============
RMAN-00571: ===========================================================
RMAN-03002: failure of alter db command at 02/24/2012 16:04:08
ORA-01589: must use RESETLOGS or NORESETLOGS option for database open

RMAN> 

SQL> select name, log_mode from v$database;

NAME      LOG_MODE
--------- ------------
ORCL      NOARCHIVELOG