dB scales are used for things that have extremely large ranges. For example, in electrical engineering the frequency response of a circuit is plotted logarithmically (ie dB) because a circuits input can be anywhere between 0 and billions of hertz. How could you reasonably display graphically the performance over such a large range? The logarithmic plot requires a small amount of intuition to read but one you understand, it is a clearer depiction of the system being represented.
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