I am having problem understanding the calculation of elasticity. if I am using the log-log model eg: log(Y)=constant+β1 log(X1)+β2 log(X2) . So i would get the elasticity as β1 and β2 . If I am using the same data and find the linear model without using log for example Y=constant + β1X1+β2X2 , the formula for elasticity of X1 would be β1*(X1/Y). My problem is why I the elasticity of log-log differ form the linear model when they came from the same data?