Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.5 The Binomial Theorem - 11.5 Assess Your Understanding - Page 857: 51

Answer

$ \frac{ln5}{ln(6/5)}\approx8.827$

Work Step by Step

$6^x=5^{x+1}$, $x\ ln6=(x+1) ln5$, $x(ln6-ln5)=ln5$, $x=\frac{ln5}{ln(6/5)}\approx8.827$
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