Exponential problem with E. coli

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The discussion centers on a mathematical model for the concentration of E. coli in a stream over time, given by the equation x(t) = loge(t + e^2). Participants clarify that to find the initial concentration of E. coli, one should evaluate the function at t=0, which results in 2 parts per million (ppm). The introduction of E. coli occurs at time t=0. The conversation confirms the correct interpretation of logarithmic functions in this context. Overall, the problem illustrates the application of logarithmic equations in environmental science.
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20 The number of parts per million, x, of E. coli in a stream t hours after a pollutant containing E. coli is introduced is modeled by
x(t) = loge (t + e2), t ≥ 0.
a How many parts per million of E. coli are introduced into the stream?
how do i work out this question?
 
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At what time t does the introduction of E coli take place?

Regards,
George
 
I'm assuming you know the laws of logs? How far have you worked through the problem?
 
thank you . ...
 
i let t=0 therefore loge e2 equals to 2 is it correct?
 
rachael said:
i let t=0 therefore loge e2 equals to 2 is it correct?

2 ppm, yes. Nice work!

Regards,

Rich B.
 

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