College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 404: 14


(a) $x=\dfrac{\ln{8}}{0.4}$ (b) $x \approx 5.198604$

Work Step by Step

(a) Take the natural logarithm of both sides to obtain: $\ln{e^{0.4x}} = \ln{8}$ Use the rule $\ln{e^n} = n$ to obtain: $0.4x = \ln{8} \\\dfrac{0.4x}{0.4}=\dfrac{\ln{8}}{0.4} \\x=\dfrac{\ln{8}}{0.4}$ (b) Use a calculator to evaluate the answer and have: $x \approx 5.198604$
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