Post by Wanderingfox
The trick is that once you do ANY of the alchemy mastery quests, you become qualified to get ANY mastery.
By doing the Transmute mastery quest (starts from
Zarehvi at the Stormspire in Netherstorm), you basically take the 'easy' way out. The
Master of Transmutation quest is EXTREMELY easy, but it's expensive (requiring 4
primal mights, at roughly 100g a pop).
Once you've done that, you can simply talk to Zarehvi again and request that you "Unlearn Transmutation Mastery" at the cost of 150g.
Now you're flagged as a "Master" alchemist in the sense that you have had a mastery before.
All that's left is to talk to the appropriate master (For elixir's it would be
Lorokeem in the Lower City of Shattrath, and potions would be
Lauranna Thar'well at the Cenarion Refuge in Zangarmarsh).
Again this is an EXPENSIVE (requiring between 450-650g depending on server price of mights), but very fast way to obtain your Alchemy mastery.