Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Review Exercises - Page 512: 24

Answer

$\log_{3}3^{8}=8$.

Work Step by Step

$\log_{b}x=y $ is equivalent to $ b^{y}=x.\qquad (*)$ Consequently,$\qquad \log_{b}b^{x}=x.\qquad (**)$ --- Here, b=3, x=8, and due to (**), $\log_{3}3^{8}=8$.
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