The tree (at least for the alliance version of the quest) is in Shadowmoon Valley at 30.51, 30.67.
When I first read the quest I got the impression the tree was going to be inside the garrison, near the lumber mill, which it is not.
Quest
Sharper Blades, Bigger Timber
A World of Warcraft quest in Shadowmoon Valley. Facts and objectives from the current retail game data.
The highest voted Wowhead comments for this page. They are community notes, not TheWoWDB comments.
Unlike cutting normal trees, you have to actually stay somewhat close to the tree in order to receive credit for the timber sample. Normally with trees, you can cut it and run away as the animation plays and you'll still be given the timber. But for this quest, I cut the tree and ran back to the garrison and did not get credit. This quest has a longer special animation since it's the first time you see it (at least on that character), and you have to wait for it to play out.
This quest is very close to the garrison. Garrison, as in Hell. Which is bad. 20s delay.
I've been coming back to try to do this quest throughout the day and it's been the same result every time. I click on the tree. The "jack" shows up in his little copter and just stays up there for a while, then he just drops down and dies. No rush to do this, but i want to be able to log medium trees!
Quest facts
The client quest POI data records no map location for this quest, so no map is shown.
Check whether you have already completed this quest
in-game: /run print(C_QuestLog.IsQuestFlaggedCompleted(36194))
Description
Incredible news, Commander {name}. Your ever-loyal servant has managed to secure us commandojacks. Now maybe you don't know what a commandojack is, so let me explain: they're like lumberjacks, only highly trained in the art of killing. Mostly they're out of work mercenaries and assassins. What this means is that we can now cut medium sized timber - but first we need to give these commandojacks a test run. There's a suitable tree nearby. Good luck!
Community notes from Wowhead · 7 comments
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Garrison Resourcesx 100
Spell: Journeyman LoggingAllows you to harvest medium sized timber across Draenor.
Reward details
Currency: Garrison Resources x 100
Earn resources to build-up and expand your garrison.
Item facts are the current retail client’s (ItemSparse); the specialisations for a pick-one item are the ones the Blizzard quest API lists; faction and currency text is the client’s own. Lowest listed price = the US commodity auction house now.
Where this quest fits
Other quests with this name
This one: Shadowmoon Valley · Level 10-40.
Steps, storylines and map placement from the client’s QuestLine, prerequisite and QuestPOI data; neighbouring quest text is Blizzard’s own (quest API), shortened to its opening sentences.