Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 32

Answer

-6

Work Step by Step

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $\log 0.000001$ Rewrite 0.000001 as $10^{-6}$ [Note: $10^{-6} = \frac{1}{10\times10\times10\times10\times10} = \frac{1}{1000000} = 0.000001$] $$\log 10^{-6} \rightarrow \log_{10} 10^{-6}$$ Use the Third Property of Logarithms: $\log_a a^x = x$ $$\log_{10} 10^{-6} = -6$$
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