Sorry,Log Horizon 5 is not avaiable yet. We will update Log Horizon as soon as it is released.
If you want to read new chapter of Log Horizon at the first time,you can subscribe it. We’ll send your the email as soon as Log Horizon 5 updates.

Have more fun on facebook:

https://www.facebook.com/mangahomelife/

Or enjoy fantasy shoujo moments on tumblr:

https://onlyshoujo.tumblr.com/

You can read some other great manga to kill time