Magnitude of Earthquakes On the Richter scale, the magnitude R of an earthquake is given by the formula R = log where I is the intensity of the earthquake being measured and I, is the standard reference intensity. (a) Express the intensity I of an earthquake of magnitude R = 3 in terms of the standard intensity In. I = 103 (b) Express the intensity I of an earthquake of magnitude R = 8 in terms of the standard intensity In. I = 100000000 | x How many times greater is the intensity of an earthquake of magnitude 8 than one of magnitude 3? 100000 times greater (c) In modern times, the greatest loss of life attributable to an earthquake occurred in Haiti in 2010. Known as the Haiti earthquake, it registered 7.0 on the Richter scale. How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude R = 3? 109

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 67E
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Magnitude of Earthquakes On the Richter scale, the magnitude R of an earthquake is given by the formula
dard
of th
R = log
where I is the intensity of the earthquake being measured and I, is the standard reference intensity.
of the
(a) Express the intensity I of an earthquake of magnitude R = 3 in terms of the standard intensity I.
I = 103
e 8
oce
(b) Express the intensity I of an earthquake of magnitude R = 8 in terms of the standard intensity In.
ity
I = 100000000 x
How many times greater is the intensity of an earthquake of magnitude 8 than one of magnitude 3?
100000
times greater
(c) In modern times, the greatest loss of life attributable to an earthquake occurred in Haiti in 2010. Known as the Haiti
earthquake, it registered 7.0 on the Richter scale. How does the intensity of this earthquake compare with the intensity of an
earthquake of magnitude R = 3?
109
Need Help?
Read It
44,819
étv
16
Transcribed Image Text:Magnitude of Earthquakes On the Richter scale, the magnitude R of an earthquake is given by the formula dard of th R = log where I is the intensity of the earthquake being measured and I, is the standard reference intensity. of the (a) Express the intensity I of an earthquake of magnitude R = 3 in terms of the standard intensity I. I = 103 e 8 oce (b) Express the intensity I of an earthquake of magnitude R = 8 in terms of the standard intensity In. ity I = 100000000 x How many times greater is the intensity of an earthquake of magnitude 8 than one of magnitude 3? 100000 times greater (c) In modern times, the greatest loss of life attributable to an earthquake occurred in Haiti in 2010. Known as the Haiti earthquake, it registered 7.0 on the Richter scale. How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude R = 3? 109 Need Help? Read It 44,819 étv 16
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