Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 35

Answer

-3

Work Step by Step

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $\log_3 \frac{1}{27}$ Rewrite $\frac{1}{27}$ as $3^{-3}$ [Note: $3^{-3} = \frac{1}{3\times3\times3} = \frac{1}{27}$] $$\log_3 3^{-3}$$ Use the Third Property of Logarithms: $\log_a a^x = x$ $$\log_ 3 3^{-3}= -3$$
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