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 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 18


$\frac{3ln7}{1-ln7}\approx- 6.172$

Work Step by Step

1. $7^{x+3}=e^x \Longrightarrow (x+3)ln7=x \Longrightarrow (1-ln7)x=3ln7 \Longrightarrow x=\frac{3ln7}{1-ln7}\approx- 6.172$ 2. Check, $x=\frac{3ln7}{1-ln7}$ fit(s).
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