Is decibels a logarithmic scale
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covers a large range of values, since the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size.Presentation of data on a logarithmic scale can be helpful when the data: The top right graph uses a log-10 scale for just the X axis, and the bottom right graph uses a log-10 scale for both the X axis and the Y axis. A base-10 log scale is used for the Y axis of the bottom left graph, and the Y axis ranges from 0.1 to 1,000. The top left graph is linear in the X and Y axes, and the Y-axis ranges from 0 to 10. In addition, studies of young children in an isolated tribe have shown logarithmic scales to be the most natural display of numbers in some cultures. In particular, our sense of hearing perceives equal ratios of frequencies as equal differences in pitch. Some of our senses operate in a logarithmic fashion ( Weber–Fechner law), which makes logarithmic scales for these input quantities especially appropriate. Absorbance of light by transparent samples.
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Krumbein scale for particle size in geology.Stellar magnitude scale for brightness of stars.The following are examples of commonly used logarithmic scales, where a larger quantity results in a lower (or negative) value: Particle size distribution curves of soil.The rule of nines used for rating low probabilities Entropy in thermodynamics.Counting f-stops for ratios of photographic exposure.Frequency level, with units cent, minor second, major second, and octave for the relative pitch of notes in music.Neper for amplitude, field and power quantities.Richter magnitude scale and moment magnitude scale (MMS) for strength of earthquakes and movement in the Earth.The following are examples of commonly used logarithmic scales, where a larger quantity results in a higher value: The markings on slide rules are arranged in a log scale for multiplying or dividing numbers by adding or subtracting lengths on the scales. Often exponential growth curves are displayed on a log scale, otherwise they would increase too quickly to fit within a small graph. Likewise, the numbers 2, 4, 8, 16, 32, and so on, would be equally spaced. In nonlinear scale, the numbers 1, 2, 3, 4, 5, and so on would not be equally spaced.
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As opposed to a linear number line in which every unit of distance corresponds to adding by the same amount, on a logarithmic scale, every unit of length corresponds to multiplying the previous value by the same amount. A logarithmic scale (or log scale) is a way of displaying numerical data over a very wide range of values in a compact way.