There is disagreement on the proper way to label logarithmic scales in charts and graphs, especially when the base is not 10. This post shows several alternative ways of labeling log scales ...

The second finding, however, is the key weakness of a log chart: people have a hard time interpreting the scale. In the log chart, the final dot looks like it’s at around 60-70,000 deaths or so.

Logarithmic scales have other advantages as well. Returning to the APPL charts above, it is impossible to imagine drawing a trendline connecting the series of lows in 2003 on up through 2008.

Documents show that Purdue switched back and forth between logarithmic and linear scales on its drug charts depending on which looked better.

A log scale can thus mask changes in a curve because large differences between points are concealed within seemingly "regular" intervals. If the curve in the log graph is shown in regular linear ...

A log scale graph, where one or both axes increase exponentially (1, 10, 100, instead of 1, 2, 3), data is compressed to make exponential trends easier to parse.

Logarithmic and Arithmetic Scales for Line Graphs Ian A. McKay and Helen E. Parson The Clearing House , pp. 89-93 (5 pages) ...