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6.7 Exercise 72

Avg difficulty 2.5

Find the value of the number shown on each logarithmic scale. Round all answers to the nearest thousandth.

Recall the formula for calculating the magnitude of an earthquake, M= 2 3 log( S S 0 ). M = \frac{2}{3} \log \left(\frac{S}{S_{0}}\right) . One earthquake has magnitude 3.9 \text{3} . \text{9} on the MMS scale. If a second earthquake has 750 \text{75} 0 times as much energy as the first, find the magnitude of the second quake. Round to the nearest hundredth.

OpenStax Algebra and Trigonometry 2e, 6.7 Exponential and Logarithmic Models, exercise 72

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.