
This is a new currency that was introduced a few months ago. The feature had a rough, drawn out delayed start and a lot of controversy. It is much better now.
You earn these thru contests and guide events.
The contests are usually posted on the official forums. After you submit what ever the contest requires then all correctly submitted names are put in a spinner and a few winners are chosen. Reward is 1 or 2 Logs. They have had less than 5 contests since it started some months ago so it's not a fast way to earn them
The guide events seem to be rewarding 1 Log each time. Not all servers have guide events. Some servers have a lot of them. You can attend as many guide events as you want, with as many boxes, alts as you want. Unless it is a special event where the guide limits you to one character. My server usually has simple ones like collect insect parts to feed a frog they are play acting as or to round up some kittens, etc. This is the link to the guide forum which has the tentative guide events for each server: https://forums.daybreakgames.com/guide/index.php?forums/everquest-guide-events.321/
So what do you get? You can go check out Kroger the Confused. Not to be confused with Kroger Grocery Stores. He is in Sunrise Hills on the side of the hut by the lady who sells paintings or Plane of Knowledge and the Tunnel in Commonlands. https://special.eqresource.com/krolgartheconfused.php
He is pretty much a copy of the Loyalty Vendors. A ton of potions, weapon augs (all the ocean mist ones and more) , gold tickets, unattuners etc. BUT he has new stuff also, a bag, a Black Griffon mount for 4 Logs or the entire line of shields representing the GODS for 1 log each.
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Most everything is 1 log so if you get into the guide events you can easily get what ever you want.
Enjoy!

