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understanding half-lives

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apologies in advance if I've posted on this before.  It doesn't really stick in my head.

So...I take 1.5mg of ativan at  night.  It has a 12-hour half life.  I think that what that means is that when I wake up in the morning (and go through my day), I still have 0.75mg in my system.  Is that accurate?

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