Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 819: 92

Answer

$x=1.5893$

Work Step by Step

$$\dfrac{3.01}{\ln x}=\dfrac{28}{4.31}$$ Let's use multiplication and cross product properties. $$3.01\cdot 4.31=28\cdot \ln x$$ or $$\ln x=\dfrac{3.01\cdot4.31}{28}$$ Let's apply inverse function. and round to four decimal places: $$x=e^{\frac{3.01\cdot4.31}{28}}=e^{0.463325}=1.5893$$
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