diff --git a/Dockerfile b/Dockerfile
index 9ee0e14..dadc5ae 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -41,7 +41,7 @@ LABEL org.opensuse.release-stage="released"
 # endlabelprefix
 LABEL usage="This container should only be used to build containers for daemons. Add your packages and enable services using systemctl."
 
-RUN set -euo pipefail; zypper -n in --no-recommends systemd gzip; zypper -n clean; rm -rf /var/log/*
+RUN set -euo pipefail; zypper -n in --no-recommends systemd gzip; zypper -n clean; rm -rf /var/log/{lastlog,tallylog,zypper.log,zypp/history,YaST2}
 CMD ["/usr/lib/systemd/systemd"]
 
 RUN mkdir -p /etc/systemd/system.conf.d/ && \
diff --git a/init-image.changes b/init-image.changes
index ff7d40e..3d6edb1 100644
--- a/init-image.changes
+++ b/init-image.changes
@@ -1,3 +1,8 @@
+-------------------------------------------------------------------
+Fri Apr 12 12:03:53 UTC 2024 - Dirk Mueller <dmueller@suse.com>
+
+- Don't wipe everything in /var/log, only remove log files (this omits directories owned by packages)
+
 -------------------------------------------------------------------
 Fri Mar 22 17:20:58 UTC 2024 - Dirk Mueller <dmueller@suse.com>