SOLUTION: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10^t," where t is the elapsed time in minutes. How would you apply logarithms t

Question 689154: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10^t," where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10^t," where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
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Solve 6x10^9 = 10^t
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Take the log to get:
log(6)+log(10)^9 = t*log(10)
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log(6) + 9 = t*1
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t = [log(6) + 9]
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t = 9.7782 minutes
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Cheers,
Stan H.
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