Most units, e.g. for length, time, mass, etc, are linear in relation to the underlying property.
But there are some special quantities, where the units can vary several orders of magnitude within the same system, so they are measured using logarithmic scales. Such cases are for example electromagnetic signal, where we have
dbm, or earthquake intensity (Richter scale), or sound intensity (db).
My question is are there any physical quantities that vary so much within the same system, where the units are expressed in log(log) scale? Something that could change orders of magnitudes of orders of magnitudes?