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 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