As others have already explained, you don’t need to measure the half-life of an element to know it.
You can measure it’s three-quarters-life too, or one-tenth-life, or nine-tenth-life, or even the nine-hundred-ninety-nine-thousand–nine-hundred-ninety-ninth-life, and get the information you need.
Half-life is just convenient because it’s straight in the middle.
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