For every single increase on this scale, the magnitude is increased by a factor of 10. This scale measures the magnitude of an earthquake, which is the amount of energy released by it. The Richter Scale - Earthquakes are measured on the Richter Scale, which is a base 10 logarithmic scale.The threshold of pain is about 120 dB and that causes hearing loss. So a doubling of sound intensity just leads to +3dB. What the pH scale is doing is measuring the concentration of hydrogen ions (H +) in a substance, and is given by the equationġ0^(10^6)=10 \times 6 = 60 dB Now, if two people are talking at once, that only raises the dB to 63 dB. The pH scale - A commonly used logarithmic scale is the pH scale, used when analyzing acids and bases.This is useful for many applications, some of which will be seen below. When plotted on a semi-log plot, seen in Figure 1, the exponential 10 x function appears linear, when it would normally diverge quickly on a linear graph. Using a logarithmic scale can be useful when creating graphs to compress the scale and make the data easier to comprehend. What this means is that for every one value of y, the value of x will increase by a factor of ten, and vice versa. Typically, a base ten and base e scale are used.Ī basic equation for a base ten logarithmic plot is Instead of increasing in equal increments, each interval is increased by a factor of the base of the logarithm. Ī logarithmic scale is a nonlinear scale often used when analyzing a large range of quantities. For sound, its common to use decibel with a reference of 0. What are some examples where the decibel scale is used Decibel is used to quantify the intensity of sound. A semi log plot with three different functions graphed (click to enlarge). This is why the logarithmic scale of decibel is useful when quantifying values that have a large range.
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