Write the Arrhenius equation in the form $\ln \, k = -\frac{E_a}{RT} + \ln \, A$.

(N/A) The Arrhenius equation is given by $k = A e^{-\frac{E_a}{RT}}$.
Taking the natural logarithm $(ln)$ on both sides:
$\ln \, k = \ln(A e^{-\frac{E_a}{RT}})$.
Using the logarithmic property $\ln(xy) = \ln \, x + \ln \, y$:
$\ln \, k = \ln \, A + \ln(e^{-\frac{E_a}{RT}})$.
Since $\ln(e^x) = x$,the equation simplifies to:
$\ln \, k = \ln \, A - \frac{E_a}{RT}$ or $\ln \, k = -\frac{E_a}{RT} + \ln \, A$.