Q:

The reproduction of cells in a bacterial colony is important for many environmental engineering applications such as wastewater treatments. The formula

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 The reproduction of cells in a bacterial colony is important for 

many environmental engineering applications such as wastewater 

treatments. The formula

log(N) = log(N0) + t/T log(2)

can be used to simulate this, where N0 is the original population, N is 

the population at time t, and T is the time it takes for the population to 

double. Use the solve function to determine the following: if N0 = 102

,

N = 108

, and t = 8 hours, what will be the doubling time T? Use 

double to get your result in hours.

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>> No = 10^2;

>> N = 10^8;

>> t = 8;

>> T = sym('T');

>> eqn = log(No) + (t/T)*log(2) - log(N);

>> double(solve(eqn))

ans =

 0.4014

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