Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 27

Answer

a.) 2 b.) 2 c.) 10

Work Step by Step

$Evaluate$ $the$ $expression:$ a.) $\log_6 36$ b.) $\log_9 81$ c.) $\log_7 7^{10}$ a.) $\log_6 36$ Rewrite 36 as $6^2$ [Note: $6^2 = 6\times6 = 36$] $\log_6 6^2$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_6 6^2 = 2$ b.) $\log_9 81$ Rewrite 81 as $9^2$ [Note: $9^2 = 9\times9 = 81$] $\log_9 9^2$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_9 9^2 = 2$ c.) $\log_7 7^{10}$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_7 7^{10} = 10$
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