I'm having issues understanding how to use the Arrhenius equation, usually on the step before the last where you do something with an exponent. Can someone help me understand?

Question

aaronq · Answer

$\Large k=A*e^{(\frac{-E_a}{RT})}$

divide both sides by the constant, A.

$\Large \dfrac{k}{A}=e^{(\frac{-E_a}{RT})}$

"take ln" of both sides

$\Large ln(\dfrac{k}{A})=ln(e^{(\frac{-E_a}{RT})})$

using logarithm rules, you can bring the exponent part down:

$\Large ln(\dfrac{k}{A})=(\frac{-E_a}{RT})ln(e)$

because $ln = log_e$, $ln(e)=log_e(e)=1$

you're left with:

$\Large ln(\dfrac{k}{A})=(\frac{-E_a}{RT})$

i think you can take it from here