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: 26

Answer

a.) 7 b.) 3 c.) 3

Work Step by Step

$Evaluate$ $the$ $expression:$ a.) $\log_3 3^7$ b.) $\log_4 64$ c.) $\log_5 125$ a.) $\log_3 3^7$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_3 3^7 = 7$ b.) $\log_4 64$ Rewrite 64 as $4^3$ [Note: $4^3 = 4\times4\times4 = 64$] $\log_4 4^3$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_4 4^3 = 3$ c.) $\log_5 125$ Rewrite 125 as $5^3$ [Note: $5^3 = 5\times5\times5 = 125$] $\log_5 5^3$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_5 5^3 = 3$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.