Jordan's Question from Facebook (About Exponential Functions)

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    Exponential Functions
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SUMMARY

The discussion centers on solving exponential functions, specifically using the standard form \(y=Ae^{mx}\). User Jordan expresses confusion regarding the second part of a problem after missing a class. Sudharaka provides guidance by suggesting that Jordan should create two equations based on given values of \(x\) and \(y\) to find the variable \(m\) through division of these equations. This method is a direct approach to solving exponential equations.

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Sudharaka
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Jordan from Facebook writes:

Got the first one right, don't know exactly what it's asking for in the 2nd part(I missed the class that we went over these types of problems) thanks!

2rgdzfa.jpg
 
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Sudharaka said:
Jordan from Facebook writes:

Got the first one right, don't know exactly what it's asking for in the 2nd part(I missed the class that we went over these types of problems) thanks!

2rgdzfa.jpg

Hi Jordan, :)

Start with the standard form of the exponential function, \(y=Ae^{mx}\) and plug in values for \(x\) and \(y\). You get two equations,

\[y_0=Ae^{mx_0}\]

\[y_1=Ae^{mx^1}\]

By dividing the two equations you'll be able to find \(m\). I hope you can continue from here. :)

Kind Regards,
Sudharaka.
 

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