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 4.4 - Laws of Logarithms - 4.4 Exercises: 27

Answer

$3\ln{a}$

Work Step by Step

RECALL: $\ln{PQ} = \ln{P} + \ln{Q}$ Write $a^3$ as $a^2(a)$ to obtain: $=\ln{(a^2\cdot a)}$ Use the rule above to obtain: $=\ln{(a^2)} + \ln{a}$ Write $a^2$ as $a(a)$ to obtain: $=\ln{(a \cdot a)} + \ln{a}$ Use the rule above to obtain: $=\ln{a} + \ln{a} + \ln{a}$
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