In this article, we study a class of (α, β)-metric which is of the form F=exp(2s)/s; where s :=β/α. This is called the Kropina change of exponential (α, β)-metric bar{F} = exp(s). We obtained the necessary and sufficient conditions that under which F is a locally dually flat Finsler metric. Moreover, we prove that F is a locally dually flat metric if and only if bar{F} be a locally dually flat metric.
