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In his notes, our teacher makes this approximation:

[tex]

\log(1 + 3e^{-2\frac{E_o}{\tau}}) \approx \log(3e^{-2\frac{E_o}{\tau}})

[/tex]

For [itex]\tau << E_o[/itex]

Also, and I don't think this matters, the logs are assumed to be natural logs.

I was wondering what the justification for this was...

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# Log Approximation

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