Exponential problem with E. coli

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Homework Help Overview

The discussion revolves around a problem involving the exponential growth of E. coli in a stream, modeled by a logarithmic function. Participants are exploring how to interpret the model and determine the initial concentration of E. coli introduced into the stream.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the interpretation of the logarithmic model and the implications of setting t to 0 to find the initial concentration. There is also a query about the understanding of logarithmic laws.

Discussion Status

The discussion includes attempts to evaluate the function at t=0, with some participants confirming calculations and others seeking clarification on the logarithmic properties. There is a mix of interpretations regarding the initial conditions and the model's implications.

Contextual Notes

Some participants are checking assumptions about logarithmic functions and their application in this context, while others are reflecting on the problem's setup and initial conditions.

rachael
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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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