Normalizing from one linear scale to another or from linear to logarithmic. Exp is the inverse of Log so converting from logarithmic to linear can be done with exp (or power() depending on lang)
e.g. say you have data in a scale from 2 to 8 million, but want to display it in a scale from 0.1 to 10
My specific use case where this came up was choosing a penwidth (edge weighting thickness) for a graphviz dot file. I wanted the thickness of the edge to be relative to the size of the flow between nodes.
Task: convert to log scale, e.g. 2 to 8M into 0.1 to 10 for the edge thickness in graphviz dot file.
Note: Think about this as merely adjusting the value using the ratio of your X scale range to your Y scale range, where your X scale is your actual data, in this case 1 to 8 Million, and your Y scale is the range you want, in this case 0.1 to 10.