Here are the files in /bin and /sbin which call syslog()

BIN
./date/date.c

SBIN
./shutdown/shutdown.c
./savecore/savecore.c
./routed/tables.c
./routed/startup.c
./routed/main.c
./routed/input.c
./reboot/reboot.c
./nfsiod/nfsiod.c
./nfsd/nfsd.c
./newfs/newfs.c
./mountd/mountd.c
./init/init.c
./dmesg/dmesg.c
./mount_portal/pt_file.c
./mount_portal/mount_portal.c
./mount_portal/activate.c
./mount_portal/conf.c
./mount_portal/pt_exec.c
./mount_portal/pt_tcp.c
./mount_nfs/mount_nfs.c