Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.4 Evaluate Logarithms and Graph Logarithmic Functions - 7.4 Exercises - Problem Solving - Page 505: 61a

Answer

6.4 magnitude

Work Step by Step

Given: $M=0.29(\ln E)-9.9$ Substituting $E=2.5 \times10^{24}$ we have: $$M=0.29(\ln (2.5 \times10^{24}))-9.9\\=0.29(56.1783)-9.9\\=6.3917\approx6.4$$
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