Exam 5: Exponential and Logarithmic Functions

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14x=2414 ^ { x } = 24 Round to two decimal places.

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The amount of a certain radioactive isotope present at time t is given by A(t)=400e0.02664t\mathrm { A } ( \mathrm { t } ) = 400 \mathrm { e } ^ { - 0.02664 \mathrm { t } } grams, where t is the time in years that the isotope decays. The initial amount present is 400 grams. How many grams remain After 20 years? Round to the nearest hundredth.

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The number of students infected with the flu on a college campus after t days is modeled by the function P(t)=3601+39e0.3tP ( t ) = \frac { 360 } { 1 + 39 e ^ { - 0.3 t } } What is the maximum number of infected students possible?

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Evaluate the logarithm, if possible. Round the answer to four decimal places. -log 4508

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