Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 369: 81

Answer

$(\log 2, \log 5)$ (Note: that answer is in set notation)

Work Step by Step

Given the inequality $ 2 < 10^x < 5$ Take the log of all terms $\log 2 < \log (10^x) < \log 5$ Thus, $\log 2 < x < \log 5$ $(\log 2, \log 5)$
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