Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Cumulative Review Exercises - Page 818: 6


The answer is $2.97$.

Work Step by Step

The given equation is $30e^{0.7x}=240$ Divide both sides by $30$ $\frac{30e^{0.7x}}{30}=\frac{240}{30}$ $e^{0.7x}=8$ Take $\ln$ both sides. $\ln e^{0.7x}=\ln 8$ By using property of logarithms $\ln e^x=x$ $0.7x=\ln 8$ $x=\frac{\ln 8}{0.7}$ $x=2.97063077383$ Rounded to the nearest two decimal places. $x=2.97$.
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