lf d is the minimum distance between the curves fx=ex   and   gx=logex, then the value of a6 is_____

Since the graphs y=ex and y = log x are symmetrical about the line y = x, minimum distance is the distance along the common normal to both the curves, i.e., y = x must be parallel to the tangent as both the curves are inverse of each other.          dydxx1=ex1=1or    x1=0   and   y1=1or   A≡0,1   and   B≡1,0or   AB=2