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 $ln \, k = -\frac{E_a}{RT} + ln \, A$.