Can anyone give me some examples of where logarithmic scales are used? and how are they used?

Answer 1

They are used anywhere phenomena that appear to be linear are actually related to the square or an exponential power of something.

There are several questions floating around in here about "decibels" as related to sound. Decibels are a logarithmic scale, where in the difference between 3 and 4 decibels is not the same as the step between 9 and 10 decibels. The step from 9 to 10 decibels is a lot bigger (27 times bigger??) because this scale is not linear.

Logarithmic scales used to be used on gizmos called "slide rules", because adding in logarithms is the same as multiplying in scalar numbers.

Answer 2

A logarithmic scale makes use of the logarithm of a actual volume rather of the quantity itself. Presentation of information on a logarithmic scale could be useful whilst the information covers a enormous choice of values (reduces the cost to a extra workable selection) a number of our senses perform in a logarithmic style. especially our experience of listening to perceives equivalent ratios of frequencies as equivalent adjustments in pitch. On maximum logarithmic scales, small values (or ratios) of the underlying volume correspond to small (in all probability adverse) values of the logarithmic degree. nicely-oftentimes going on examples of such scales are: a) Richter value scale for capability of earthquakes and circulate interior the earth. b) bel and decibel for acoustic skill (loudness). c) counting f-stops for ratios of photographic exposure. some logarithmic scales have been designed such that super values (or ratios) of the underlying volume correspond to small values of the logarithmic degree which includes pH for acidity. terrific needs

Answer 3

Sound measurement: Db
Seismic measurement: Richter Scale