What were the steps in the linearization of the following equation?

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I'm verifying a linear form of an equation, i.e.

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I can't find how the equation 6 leads to the equation 7

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It must be a misprint. I assume the model must be: $$q_e=q_Dexp\left(-B_D\left[RT\ln\left(1+\frac{1}{C_e}\right)^2\right]\right).$$