Half-life" means it takes that long for whatever is there to be reduced by half. Your pharmacist isn't wrong, at least in any meaningful sense. After 5 half-lives, or 30 hours, it will be cut in half 5 times, which means there will be 1/32 of the original amount of medication in your body.
Still present, but so far reduced that it will have little to no effect on you.
The duration of action of a drug is known as its half life. This is the period of time required for the concentration or amount of drug in the body to be reduced by one-half. We usually consider the half life of a drug in relation to the amount of the drug in plasma (blood).
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