diff --git a/package/busybox/S01logging b/package/busybox/S01logging
deleted file mode 100644
index fcb3e7d236..0000000000
--- a/package/busybox/S01logging
+++ /dev/null
@@ -1,40 +0,0 @@
-#!/bin/sh
-#
-# Start logging
-#
-
-SYSLOGD_ARGS=-n
-KLOGD_ARGS=-n
-[ -r /etc/default/logging ] && . /etc/default/logging
-
-start() {
-	printf "Starting logging: "
-	start-stop-daemon -b -S -q -m -p /var/run/syslogd.pid --exec /sbin/syslogd -- $SYSLOGD_ARGS
-	start-stop-daemon -b -S -q -m -p /var/run/klogd.pid --exec /sbin/klogd -- $KLOGD_ARGS
-	echo "OK"
-}
-
-stop() {
-	printf "Stopping logging: "
-	start-stop-daemon -K -q -p /var/run/syslogd.pid
-	start-stop-daemon -K -q -p /var/run/klogd.pid
-	echo "OK"
-}
-
-case "$1" in
-  start)
-	start
-	;;
-  stop)
-	stop
-	;;
-  restart|reload)
-	stop
-	start
-	;;
-  *)
-	echo "Usage: $0 {start|stop|restart|reload}"
-	exit 1
-esac
-
-exit $?
diff --git a/package/busybox/S01syslogd b/package/busybox/S01syslogd
new file mode 100644
index 0000000000..6e642a678a
--- /dev/null
+++ b/package/busybox/S01syslogd
@@ -0,0 +1,55 @@
+#!/bin/sh
+
+DAEMON="syslogd"
+PIDFILE="/var/run/$DAEMON.pid"
+
+SYSLOGD_ARGS=""
+
+# shellcheck source=/dev/null
+[ -r "/etc/default/$DAEMON" ] && . "/etc/default/$DAEMON"
+
+# BusyBox' syslogd does not create a pidfile, so pass "-n" in the command line
+# and use "-m" to instruct start-stop-daemon to create one.
+start() {
+	printf 'Starting %s: ' "$DAEMON"
+	# shellcheck disable=SC2086 # we need the word splitting
+	start-stop-daemon -b -m -S -q -p "$PIDFILE" -x "/sbin/$DAEMON" \
+		-- -n $SYSLOGD_ARGS
+	status=$?
+	if [ "$status" -eq 0 ]; then
+		echo "OK"
+	else
+		echo "FAIL"
+	fi
+	return "$status"
+}
+
+stop() {
+	printf 'Stopping %s: ' "$DAEMON"
+	start-stop-daemon -K -q -p "$PIDFILE"
+	status=$?
+	if [ "$status" -eq 0 ]; then
+		rm -f "$PIDFILE"
+		echo "OK"
+	else
+		echo "FAIL"
+	fi
+	return "$status"
+}
+
+restart() {
+	stop
+	sleep 1
+	start
+}
+
+case "$1" in
+        start|stop|restart)
+		"$1";;
+	reload)
+		# Restart, since there is no true "reload" feature.
+		restart;;
+        *)
+                echo "Usage: $0 {start|stop|restart|reload}"
+                exit 1
+esac
diff --git a/package/busybox/S02klogd b/package/busybox/S02klogd
new file mode 100644
index 0000000000..a4200cfb34
--- /dev/null
+++ b/package/busybox/S02klogd
@@ -0,0 +1,55 @@
+#!/bin/sh
+
+DAEMON="klogd"
+PIDFILE="/var/run/$DAEMON.pid"
+
+KLOGD_ARGS=""
+
+# shellcheck source=/dev/null
+[ -r "/etc/default/$DAEMON" ] && . "/etc/default/$DAEMON"
+
+# BusyBox' klogd does not create a pidfile, so pass "-n" in the command line
+# and use "-m" to instruct start-stop-daemon to create one.
+start() {
+	printf 'Starting %s: ' "$DAEMON"
+	# shellcheck disable=SC2086 # we need the word splitting
+	start-stop-daemon -b -m -S -q -p "$PIDFILE" -x "/sbin/$DAEMON" \
+		-- -n $KLOGD_ARGS
+	status=$?
+	if [ "$status" -eq 0 ]; then
+		echo "OK"
+	else
+		echo "FAIL"
+	fi
+	return "$status"
+}
+
+stop() {
+	printf 'Stopping %s: ' "$DAEMON"
+	start-stop-daemon -K -q -p "$PIDFILE"
+	status=$?
+	if [ "$status" -eq 0 ]; then
+		rm -f "$PIDFILE"
+		echo "OK"
+	else
+		echo "FAIL"
+	fi
+	return "$status"
+}
+
+restart() {
+	stop
+	sleep 1
+	start
+}
+
+case "$1" in
+        start|stop|restart)
+		"$1";;
+	reload)
+		# Restart, since there is no true "reload" feature.
+		restart;;
+        *)
+                echo "Usage: $0 {start|stop|restart|reload}"
+                exit 1
+esac
diff --git a/package/busybox/busybox.mk b/package/busybox/busybox.mk
index 757086592f..bfcca6ed3e 100644
--- a/package/busybox/busybox.mk
+++ b/package/busybox/busybox.mk
@@ -55,10 +55,8 @@ BUSYBOX_DEPENDENCIES = \
 	$(if $(BR2_PACKAGE_PCIUTILS),pciutils) \
 	$(if $(BR2_PACKAGE_PROCPS_NG),procps-ng) \
 	$(if $(BR2_PACKAGE_PSMISC),psmisc) \
-	$(if $(BR2_PACKAGE_RSYSLOGD),rsyslog) \
 	$(if $(BR2_PACKAGE_START_STOP_DAEMON),start-stop-daemon) \
 	$(if $(BR2_PACKAGE_SYSKLOGD),sysklogd) \
-	$(if $(BR2_PACKAGE_SYSLOG_NG),syslog-ng) \
 	$(if $(BR2_PACKAGE_SYSTEMD),systemd) \
 	$(if $(BR2_PACKAGE_SYSVINIT),sysvinit) \
 	$(if $(BR2_PACKAGE_TAR),tar) \
@@ -245,15 +243,21 @@ define BUSYBOX_INSTALL_INDIVIDUAL_BINARIES
 endef
 endif
 
-# Only install our own if no other package already did.
+# Only install our logging scripts if no other package does it.
+ifeq ($(BR2_PACKAGE_SYSKLOGD)$(BR2_PACKAGE_RSYSLOG)$(BR2_PACKAGE_SYSLOG_NG),)
 define BUSYBOX_INSTALL_LOGGING_SCRIPT
-	if grep -q CONFIG_SYSLOGD=y $(@D)/.config && \
-		[ ! -e $(TARGET_DIR)/etc/init.d/S01logging ]; \
+	if grep -q CONFIG_SYSLOGD=y $(@D)/.config; \
 	then \
-		$(INSTALL) -m 0755 -D package/busybox/S01logging \
-			$(TARGET_DIR)/etc/init.d/S01logging; \
+		$(INSTALL) -m 0755 -D package/busybox/S01syslogd \
+			$(TARGET_DIR)/etc/init.d/S01syslogd; \
+	fi; \
+	if grep -q CONFIG_KLOGD=y $(@D)/.config; \
+	then \
+		$(INSTALL) -m 0755 -D package/busybox/S02klogd \
+			$(TARGET_DIR)/etc/init.d/S02klogd; \
 	fi
 endef
+endif
 
 ifeq ($(BR2_INIT_BUSYBOX),y)
 define BUSYBOX_INSTALL_INITTAB