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

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Question 81133: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10t", 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) About Me  (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) = 10t", 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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f(t) = 10^t
5x10^9 = 10^t
Take the log of both sides to get:
log5 + log10^9 = t
log5 + 9 = t
t = 9.6989... minutes
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Cheers,
Stan H.