Chemical Kinetics: JEE Mains 2022 June 29 Shift 1

The activation energy of one of the reactions in a biochemical process is $532611\ \text{J mol}^{-1}$. When the temperature falls from $310\ \text{K}$ to $300\ \text{K}$, the change in rate constant observed is $k_{300}=x\times10^{-3}\,k_{310}$. The value of $x$ is ______. [Given: $\ln10=2.3$, $R=8.3\ \text{J K}^{-1}\text{mol}^{-1}$]