I seek advise on the following comment:

"Observing the log-log plot we can see that degree distribution fits well to a power law distribution."

The author of the comment proposes that the nature of the distribution only becomes ostensible if seen at log scale.

My question is the following:

What would prompt a conductor of a given study to investigate functions of the X- & Y- axis variables? Do certain specific properties of the data encourage further investigation? If yes, which functions other than log should be considered?

Would greatly appreciate advise.

Best,

wirefree