The Shannon Capacity Theorem identifies the limits of performance for bandwidth-limited and power-limited Gaussian channels.

In log-form, the theorem is defined by the following equation:

In exponential form, the Capacity equation is:

In locus-of-points form, the equation states that the Capacity Boundary is the locus of all points given by the following equation:

The attached figure shows the Capacity Boundary. The region below the curve is referred to as the “feasible” region. The region above the curve is referred to as the “infeasible” region. As shown in the figure, the capacity is plotted on a Log-Linear graph.

I would like recommendations of how to perform a RegionPlot of the Log-Linear graph. I would like the see to RegionPlot the both below the curve and above the curve in two different color shades.

I have attached a copy of the program that I used to generate the graph.