Intermediate Algebra for College Students (7th Edition)

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

Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set: 14

Answer

$4-\ln{8}$

Work Step by Step

RECALL: The quotient rule for logarithms states: $\ln(\frac{b}{c})=\ln{b}−\ln{c}$ Use the quotient rule to obtain: $=\ln(e^4))-\ln{8}$ Note that for all real numbers within its domain, $\ln{(e^n)}=n$. This means that $\ln{(e^4)}=4$. Thus, $\ln{(e^4)}-\ln{8}=4-\ln{8}$
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