Can the alchemist use his formulae to satisfy the requirement of an item creator to "cast" (like a cleric, wizard, etc.) or "know" (like a bard, sorcerer, etc.) the spell required.
I don't see why he couldn't. He uses his magical energies to create the formulae.
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The issue with the alchemist is that he is not a spellcaster. And thus doesn't qualify for Craft Arms & Armor, Craft Wondrous Items, etc.
He recieves Brew Potion as a bonus feat and thus doesn't 'need' to qualify for it.
An alchemist would need to use Master Craftsman to be able to select Craft Arms & Armor and/or Craft Wondrous Item. There are some other discussions about Master Craftsman and what they can create.