Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 44

Answer

2

Work Step by Step

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $\log \log 10^{100}$ $$\log \log_{10} 10^{100}$$ Use the Third Property of Logarithms: $\log_a a^x = x$ $$\log \log_{10} 10^{100} = \log 100$$ $$\log_{10} 100$$ Rewrite 100 as $10^2$ $$\log_{10} 10^2$$ Use the Third Property of Logarithms: $\log_a a^x = x$ $$\log_{10} 10^2 = 2$$
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