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Logarithms on Shaky Ground The Richter scale was once the most common scale used for measuring the magnitude of earthquakes. The Richter magnitude of an earthquake is given by the equation =−, where is the intensity of the earthquake measured by the amplitude of a seismograph reading taken 100 kilometers from the earthquake’s epicenter. The intensities of earthquakes vary greatly, from 0 in some cases to 800,000,000 or more in other cases, which is why a logarithmic scale is often used to measure their magnitudes.One of the strongest earthquakes ever recorded had a magnitude of 8.9 on the Richter Scale. What was the intensity of this earthquake? What would be the magnitude of an earthquake four times as weak as this one? How many times as intense was this earthquake as the magnitude 2 earthquake that struck central New Jersey in 2012? Suppose a given earthquake is twice as intense as another earthquake. Determine the difference in magnitude between them.