Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 452: 13


(a) $3.7704$ (b) $0.3285$

Work Step by Step

(a) $ln(1+x^{3})-4=0$ $ln(1+x^{3})=4$ $(1+x^{3})=e^{4}$ $x^{3}=e^{4}-1$ Hence, $x=\sqrt[3]{e^{4}-1}\approx3.7704$ (b) $2e^{1/x}=42$ $\frac{1}{x}=ln(21)$ $x= \frac{1}{ln(21)}\approx0.3285$
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