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.On the decibel scale, the level increase of 10 means that a sound is actually 10 times more intense, or powerful. The higher the decibel level, the louder the noise. The threshold of pain is about 120 dB and that causes hearing loss. Decibel Scale Sound is measured in units called decibels (dB). 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. A semi log plot with three different functions graphed (click to enlarge).
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