PreCalculus
posted by Andy on .
The Richtr scale was evied y Cahrles F.Richter a American geologist. The scale is based on the equation M(x)=logx/x0(little 0), where x is the seismographic reading of the earthquake and x0 i 1 miron 0.001mm (the seismographic reading of a zerolevel earthuquake)
a) Determine the magnitude of an earthquake with a seismographic readin of 1 mm
b)It is true that an earthquake of magnitude 8 i twice as intense as an earthquake of magnitude 4? Explain
c) Express the equation M=logx/x0(little 0) in exponential form
d) An earthquake measuring 6.1 on the Richter cakeoccoedin Greece on June 15, 1955. Use your results form (c) above to determine its seismographic reading

Your "x0 i 1 miron 0.001mm"
is unintelligible. Please make sure you typed the question correctly.
Since the Richter scale is a logarithmic one, the answer to (b) is obviously "no".
A magnitude 4 earthquake causes very little damage, even near the epicenter. A magnitude 8 earthquake can destroy buildings, bridges, elevated highways, and dams. Seismograph amplitudes will be about 10,000 times higher. (Note that Log(base10) of 10^4 = 4)