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arcane strike reads thus...
As a swift action, you can imbue your weapons with a fraction of your power. For 1 round, your weapons deal +1 damage and are treated as magic for the purpose of overcoming damage reduction. For every five caster levels you possess, this bonus increases by +1, to a maximum of +5 at 20th level.
does this mean that if i Have 20 caster levels at all, I get the max bonus? If i am sorc 10/bard 10 (dont ask why) would i get the full bonus to damage? or would i have to have 20th level caster level?
That is a tough one. Though it seems wrong as I don't think unrelated caster levels are ever stackable - by the exact wording of the feat it would seem to work, giving you the maximum.
I think it is intended that you need a 20th level caster level to maximise it but that it is badly worded.
they stack for the feat.
It works in this case. No sense stomping on the poor dual-arcanist any more than they already get stomped on.
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I would give you +6 personally, since you are stuck playing a Bard10/Sorc10.