Back to earthquakes.earthquake, and suppose Ao is the seismic wave amplitude of the smallestmeasureable quake. Then the magnitude of the quake in question (as measuredon the Richter scale) is defined logarithmically in terms of the ratio of theseamplitudes:SupposeRichter (1900-1985) ofa developed his scale ina mathematical devicere earthquakes.Magnitude of an EarthquakeM = log A/AoFind the magnitude of the 1989 Loma Prieta (San Francisco area) quake, whoseseismic wave amplitude ratio was A/Ao = 12,590,000.EXAMPLE 2M = log 12,590,000 = 7.1Use log buttonSolutionDo problems 21-30.Each one unit increase in the magnitude of a quake produces a ten-foldincrease in its intensity (ground shaking). Thus, an earthquake of magnitude 8has 10 times the intensity of a magnitude 7 earthquake, 100 times the intensity ofmagnitude 6 quake, and 1000 times the intensity of a magnitude 5 quake. Shownbelow is a list of notable earthquakes.Year PlaceMagnitude Comments2004 Indian Ocean near Sumatra9.3Caused great tsunami1556 China8.5830,000 people killed1964 Alaska8.5Strongest U.S. quake1906 San Francisco8.2City burned down1985 Mexico City8.17200 people killed1995 Kobe, Japan7.21989Loma Prieta (S.F. area)7.1"World Series" quake1988 Armenia6.91994 Northridge, California6.71971 Sylmar, California6.5Logarithms are used in chemistry to measure the pH of a solution, whichtells how acidic it is. The acidity is determined by the hydrogen ion H+. Theconcentration of this ion in solution is written [H+] and is measured in moles perliter. (You need not know what a mole is to determine pH.) The pH is definedlogarithmically as follows:n potential.pH =-log [H*]Pure water has pH = 7 and is called neutral. Any pH less than 7 is called acidicand any pH more than 7 is called basic (or alkaline). 21. 1933 Long Beach, CA, A/Ao = 2,510,000%3D

Question

Back to earthquakes.earthquake, and suppose Ao is the seismic wave amplitude of the smallestmeasureable quake. Then the magnitude of the quake in question (as measuredon the Richter scale) is defined logarithmically in terms of the ratio of theseamplitudes:SupposeRichter (1900-1985) ofa developed his scale ina mathematical devicere earthquakes.Magnitude of an EarthquakeM = log A/AoFind the magnitude of the 1989 Loma Prieta (San Francisco area) quake, whoseseismic wave amplitude ratio was A/Ao = 12,590,000.EXAMPLE 2M = log 12,590,000 = 7.1Use log buttonSolutionDo problems 21-30.Each one unit increase in the magnitude of a quake produces a ten-foldincrease in its intensity (ground shaking). Thus, an earthquake of magnitude 8has 10 times the intensity of a magnitude 7 earthquake, 100 times the intensity ofmagnitude 6 quake, and 1000 times the intensity of a magnitude 5 quake. Shownbelow is a list of notable earthquakes.Year PlaceMagnitude Comments2004 Indian Ocean near Sumatra9.3Caused great tsunami1556 China8.5830,000 people killed1964 Alaska8.5Strongest U.S. quake1906 San Francisco8.2City burned down1985 Mexico City8.17200 people killed1995 Kobe, Japan7.21989Loma Prieta (S.F. area)7.1&#34;World Series&#34; quake1988 Armenia6.91994 Northridge, California6.71971 Sylmar, California6.5Logarithms are used in chemistry to measure the pH of a solution, whichtells how acidic it is. The acidity is determined by the hydrogen ion H+. Theconcentration of this ion in solution is written [H+] and is measured in moles perliter. (You need not know what a mole is to determine pH.) The pH is definedlogarithmically as follows:n potential.pH =-log [H*]Pure water has pH = 7 and is called neutral. Any pH less than 7 is called acidicand any pH more than 7 is called basic (or alkaline). 21. 1933 Long Beach, CA, A/Ao = 2,510,000%3D

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