I have a problem with an exponential function. I am wondering if an exact solution is possible, or if I have to write the solution as a logarithm of an unknown.(adsbygoogle = window.adsbygoogle || []).push({});

A formula says that [tex]E(z)=E(0)^{-kz}[/tex], where E is light intensity and z is depth in water. My objective is to find the constant k. I also know that [tex]E(3)=0.01E(0)[/tex].

I have tried to solve for k in the following way:

[tex]E(3)=0.01E(0)[/tex]

[tex]E(3)=100E(3)^{-3k}[/tex]

[tex]\ln |0.01E(3)|=-3k \ln|E(3)|[/tex]

I realize that all values except for k is a constant, however, I do not know the value of E, and my question is: Are there any ways to eliminate E(3) from the equation, leaving k=numerical constant?

-dragonblood

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# Exponential function problem

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