Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

Chapter 4 - Review - Exercises - Page 389: 31

45

Work Step by Step

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $10^{\log45}$ Make the expression equal to a variable [For instance $z$] $$z = 10^{\log45}$$ Add a logarithm to both sides $$\log z = \log10^{\log45}$$ $$\log z = 1^{\log45} [Note: \log10 = 1]$$ $$\log z = \log 45$$ $$z = 45$$

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