  EXPONENTIAL AND LOGARITHMIC FUNCTIONSМaxFinding the time given ant exponential function with base e that m...EspaThe number of bacteria P (h) in a certain population increases according to the following function, where time h is measured in hours.P (h)=2200e0.11hHow many hours will it take for the number of bacteria to reach 2800?Round your answer to the nearest tenth, and do not round any intermediate computations.hours?

Question

See attachment help_outlineImage TranscriptioncloseEXPONENTIAL AND LOGARITHMIC FUNCTIONS Мax Finding the time given ant exponential function with base e that m... Espa The number of bacteria P (h) in a certain population increases according to the following function, where time h is measured in hours. P (h)=2200e0.11h How many hours will it take for the number of bacteria to reach 2800? Round your answer to the nearest tenth, and do not round any intermediate computations. hours ? fullscreen
Step 1

P(h) = 2,800 = 2,200e0.11h

Hence, e0.11h = 2,800 / 2,200 = 1.2727

Step 2

Take log to the base e on both side (represented by ln)

Hence, ln(e0.11h) = 0.11h = ln (1...

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Calculus 