SOLUTION: I cannot solve this one...can someone please help me out? Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10^t", where t is

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Question 36786: I cannot solve this one...can someone please help me out?
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!
f(t) = 10^t
5.0X10^9 = 10^t
Take the log of both sides to get:
log5+log(10^9) = log(10^t)
9.69897=t
time = 9.69897 minutes
Cheers,
Stan H.

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