it's true because these are the precise plots for that objective but generally it's going to be true that the log will do where the log of shape I'll essentially help you getting maximum likely problems often will become better condition when you take the log compared to keeping the original and we said here I remember convex concave convex was it once we've covered before any line between two points on the function should be above the function concave is the other way around and that means you have a unique optimum unique maximum