SOLUTION: Please help me with this. Thanks! 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 minute

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me with this. Thanks! 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 minute      Log On


   

Question 140089: Please help me with this. Thanks!
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 scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
5000000000=10^t __ taking log __ log(5000000000)=tlog(10)

dividing by log(10) __ log(5000000000)/log(10)=t


FYI __ this is the American billion, not the British