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

Question 27166: 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?
~I am not sure how to answer this question...can someone please help me?! Thank you!~
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Your equation is

You want to know when f(t) = 5 billion
or
in scientific notation
so

Take the log of both sides

use the rules
log(a*b*c* ... ) = log(a) + log(b) + log(c) + ...
and
log(10^k) = k

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