Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Review Exercises - Page 513: 66


$ x\approx 3.85$

Work Step by Step

$10^{x}=7000$ We can't show the RHS as a power of 10, so we apply $\log($...$)$ to both sides $\log 10^{x}=\log 7000\qquad $ ... apply basic property, $\log_{b}b^{x}=x $ $ x=\log 7000\qquad $ ... use a calculator and round to two decimal places $ x\approx 3.85$
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