Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 659: 65a

Answer

$\approx 4.467\times 10^{23}$ ergs

Work Step by Step

Substitute the given R=7.9 into $ R=\displaystyle \frac{2}{3}(\log E-11.8), \qquad$ and solve for E $7.9=\displaystyle \frac{2}{3}(\log E-11.8)$ $\displaystyle \frac{3(7.9)}{2}=\log E-11.8$ $\displaystyle \log E=\frac{3(7.9)}{2}+11.8$ $\log E= 23.65$ $E=10^{23.65}\approx 4.467\times 10^{23}$ ergs
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