Explain how long will it take until 100 atoms of this, Chemistry

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Explain how long will it take until 100 atoms of this

Explain how long will it take until 100 atoms of this isotope stay put active in the person? (A person accidentally breathes in 8 times 1018 atoms of this isotope). The first order rate constant for decay of the isotope if 0.086625 s-1

The equation looks like this: 100 = (8x1018)(e-.086625t)

Mathematically how to isolate t to get the amount of seconds?

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Chemistry: Explain how long will it take until 100 atoms of this

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Chemistry: Explain how long will it take until 100 atoms of this

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