College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Concept Check - Page 425: 45


$\log{A} +2\cdot\log{B} + 3\cdot\log{C}$

Work Step by Step

RECALL: (1) $\log{(PQ)}= \log{P} + \log{Q}$ (2) $\log{(P^n)}=n \cdot \log{P}$ Use rule (1) above to obtain $\log{(AB^2C^3)}=\log{A} +\log{B^2} + \log{C^3}$ Use rule (2) above to obtain: $\log{A} +\log{B^2} + \log{C^3}=\log{A} +2\cdot\log{B} + 3\cdot\log{C}$
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