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Conjugate base question

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TBR states: "The weaker the conjugate base, the stronger the acid that is required to react with it"

I am having trouble understanding why this is. I figured that a weaker conjugate base means its more stable (less likely to react) and thus a strong acid needs to be present to cause a reaction.

Conversely, stronger the conjugate base means its less stable, and would need a weaker acid to cause a reaction?

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