Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 468: 19

Answer

$\{3.240 \}$

Work Step by Step

Step 1. Take natural logarithm on both sides to get $(x+1)ln6=(2x-1)ln4$ Step 2. Solve the above equation: $(2ln4-ln6)x=ln6+ln4$, thus $x=\frac{ln6+ln4}{2ln4-ln6}\approx3.240$ Step 3. In set form $\{3.240 \}$
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