Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities - Page 10: 28

Answer

$n\approx2.858$

Work Step by Step

As $f(n)$ is given, this is the output value therefore we have to calculate the input value of $n$. $f(n)=3.1- 2\times\ln n$ $1=3.1- 2\times\ln n$ $-2.1=- 2\times\ln n$ $1.05=\ln n$ $e^{1.05}=e^{\ln n}=n$ (Let both sides be exponents of the base e) $n\approx2.858$
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