IPTables not logging packets in Alpine

I have an Alpine 3.13.5 VM freshly installed and iptables v1.8.6 (legacy) is working properly. However when I try to log the packets with this command, it's not generating any:

iptables -A INPUT -j LOG

I have tried changing log levels and creating custom /etc/syslog.conf:

user.* /var/log/user.log
kern.* /var/log/kern.log

user logs are redirected to the proper file but there's still no kern.log. Same thing is working out of box on other distros such as Debian.