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: 25

Answer

a.) 1 b.) 0 c.) 5

Work Step by Step

$Evaluate$ $the$ $expression:$ a.) $\log_2 2$ b.) $\log_5 1$ c.) $\log_6 6^5$ a.) $\log_2 2$ Use the Second Property of Logarithms: $\log_a a = 1$ $\log_2 2 = 1$ b.) $\log_5 1$ Rewrite 1 as $5^0$ [Note: any number or variable raised to the zeroth power equals 1] $\log_5 5^0$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_5 5^0 = 0$ c.) $\log_6 6^5$ Use the Third Property of Logarithms: $\log_a a^x$ $\log_6 6^5 = 5$
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