From the Wikipedia article (link below),
Presentation of data on a logarithmic scale can be helpful when the data cover a large range of values - for the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size.
Exponents
Logarithmic functions are converted to become exponential functions because both are inverses of one another.
A basic logarithmic equation would be of the form y = a + b*ln(x)
Exponential growth
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The Decibal scale for sound measurement is an example of a logarithmic scale. The Richter scale, the pH scale, the magnitude scale for stars, the multiplicative scales on a slide rule
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Decibels are a unit used to measure the intensity of sound on a logarithmic scale. This means that each increase in decibels represents a tenfold increase in sound intensity. The logarithmic scale allows for a wide range of sound levels to be represented in a more manageable way.
A reptile has scales and lungs to breathe air
Music
There is no subject to this question: "logarithmic" is an adjective but there is no noun (or noun phrase) to go with it. The answer will depend on logarithmic what? Logarithmic distribution, logarithmic transformation or what?
Whenever the data covers a very large range of values a log scale if very useful. Earthquakes and hearing are common examples.
You can get semi-log or log-log graph paper. In the first, the horizontal axis is linear while the vertical axis has a logarithmic scale. You can always use the paper sideways so that the horizontal is logarithmic and the vertical linear. The second type has both axes with logarithmic scales. Alternatively, you calculate the appropriate values and plot the results using the usual Cartesian coordinate system.
The decibel logarithmic scale measures the intensity of sound by comparing it to a reference level. It uses a logarithmic scale because our ears perceive sound intensity in a non-linear way. This scale allows for a wide range of sound levels to be represented in a more manageable and meaningful way.
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The decibel logarithmic scale measures the intensity of sound by comparing it to a reference level, usually the threshold of human hearing. It uses a logarithmic scale to represent the wide range of sound levels that humans can perceive, with each increase of 10 decibels representing a tenfold increase in sound intensity.