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kill the red dragon in the lair
On Friday there is a quest in the town square in battleton and you need that quest to get the rare item from the red dragon (which drops with a 10% chance) and when you get it you go back to the square and turn it in and you get the Liquid hot magma Axe.
beat red dragon in valaskar lair
Do all his quests
In AQWorlds, you get the platinum axe of destiny from Artix. The axe is a gift from Artix when you help test something big. You can also buy it from Atrix for 1000 gold in his storyline test shop.
You cant, only artix can have it
Its no longer available
On Fridays, take Valencia's (/join battleontown) daily quest and once accepted kill the Red Dragon in /join lair until it drops the quest item. Turn it in to Valencia and you should get theLiquid Hot Magma Axe
If by "Blue Axe" you're talknig about the Swordhaven Axe that's blueish color and has the Swordhaven symbol on it (in blue), then you can get it in the "good Shop" in the castle.
Red Dragon IN Lair 10% chance it will drop
You can get the Shadow terror axe at the evil rep shop. it requiers lvl 10 evil though
the platinum axe of destiny was a platinum version of artix's axe but has gone rare now, the Blinding Light of Destiny his real axe u can get after doomwood part 2 finishes probably