On a logarithmic scale the value between two points changes in a particular pattern. The Richter magnitude scale (also Richter scale) assigns a magnitude number to quantify the energy released by an earthquake. The magnitude of an earthquake is related to how much energy is released by the quake. The idea is to put events which can vary drastically (earthquakes) on a single scale with a small range (typically 1 … Taking the log reduces this range to a value that is easier to grasp intuitively. Logarithms are used when the value of something covers a large range, say from 1 to 1000.

References The Richter scale is a logarithmic function that is used to measure the magnitude of earthquakes. This is the case for magnitude. Each unit of increase on this scale, corresponds to an increase by a factor of 10, and the magnitude is expressed in the form of whole numbers and decimal fractions. Charles Richter developed the Richter Scale in 1935. In 1935 Charles Richter defined the magnitude of an earthquake to be where I is the … For every single increase on this scale, the magnitude is increased by a factor of 10. We're at the typical "logarithms in the real world" example: Richter scale and Decibel. It is a logarithmic scale that ranges from 0 to over 10. It was developed by Charles F. Richter of the California Institute of Technology in 1935. Measurement Scale: Richter, Decibel, etc. Sigh. In other words, an earthquake of magnitude 8 is not twice as great as an earthquake of magnitude 4. It does not have any … Cool Fact: For every single increase on this scale, the magnitude is increased by a factor of 10.
Visit HowStuffWorks to learn more. In this lesson, we will investigate the nature of the Richter Scale and the base-ten function upon which it depends. The Richter Scale is a base-ten logarithmic scale. This scale measures the magnitude of an earthquake, which is the amount of energy released by it. As with the Richter scale, an increase of one step on the logarithmic scale of moment magnitude corresponds to a 10 1.5 ≈ 32 times increase in the amount of energy released, and an increase of two steps corresponds to a 10 3 = 1000 times increase in energy. The Richter Scale is a logarithm scale that is used to calculate the magnitude of earthquakes. It is 10 8 − 4 = 10 4 = 10,000 10 8 − 4 = 10 4 = 10,000 times as great! The Richter magnitude scale (also Richter scale) assigns a magnitude number to quantify the size of an earthquake. The Richter Scale - Earthquakes are measured on the Richter Scale, which is a base 10 logarithmic scale. Visit HowStuffWorks to learn more. Magnitude is determined using the logarithm of the amplitude (height) of the largest seismic wave calibrated to a scale by a seismograph. APPLICATIONS OF EXPONENTIAL: AND: LOGARITHMIC FUNCTIONS: EARTHQUAKE WORD PROBLEMS: As with any word problem, the trick is convert a narrative statement or question to a mathematical statement. The Richter magnitude scale is used to measure the magnitude of earthquakes. A logarithmic scale (or log scale) is a way of displaying numerical data over a very wide range of values in a compact way—typically the largest numbers in the data are hundreds or even thousands of times larger than the smallest numbers.Such a scale is nonlinear: the numbers 10 and 20, and 90 and 100, are not the same distance apart on a log scale. It is [latex]{10}^{8 - 4}={10}^{4}=10,000[/latex] times as great! In other words, an earthquake of magnitude 8 is not twice as great as an earthquake of magnitude 4. The Richter scale is a base-10 logarithmic scale.