College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding: 44

Answer

$\ln{x} +x$

Work Step by Step

RECALL: (1) $\ln{(MN)} = \ln{M} + \ln{N}$ (2) $\ln{\left(\dfrac{M}{N}\right)} = \ln{M} - \ln{N}$ (3) $\ln{e} = 1$ (4) $\ln{(e^x)}=x$ Using rule (1) above, the given expression is equivalent to: $=\ln{x} + \ln{(e^x)}$ Using rule (4) above, the given expression simplifies to: $=\ln{x} +x$
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