Plot[{Callout[x - 1, "x=1", {1, Above}, CalloutMarker -> "Star"], Callout[(E - 1)*Log[x], "x=e", {E, Above}, CalloutMarker -> "CirclePoint"]}, {x, 0.5, 3.5}, Frame -> True, GridLines -> Automatic, PlotLabels -> Automatic]
Why is this a bit off? Should it not be positioned exactly at (1,0)?