If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after $ t $ hours is $ n = f(t) = 100 \cdot 2^\frac{t}{3} $. (a) Find the inverse of this function and explain its meaning. (b) When will the population reach 50,000?

          If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after $ t $ hours is $ n = f(t) = 100 \cdot 2^\frac{t}{3} $.

(a) Find the inverse of this function and explain its meaning.
(b) When will the population reach 50,000?

Added by Michael C.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Babita Kumari

09/08/2021

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after $ t $ hours is $ n = f(t) = 100 \cdot 2^\frac{t}{3} $. (a) Find the inverse of this function and explain its meaning. (b) When will the population reach 50,000?