Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 660: 67c

Answer

$57,000$ ft

Work Step by Step

We want $r$ for which $D=0$. We take the result of (b) and equate D with $0$. $D=95-20\log r$ $0=95-20\log r$ $20\log r=95$ $\log r=95/20$ $r=10^{95/20}\approx 56234.13$ Rounded to $2$ significant figures, the result must be more than $56,000$ ft, so our answer is $57,000$ ft.
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