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: 17

Answer

$\{-1.710 \}$

Work Step by Step

Step 1. Take natural logarithm on both sides to get $(x-1)ln4=2x\ ln3$ Step 2. Solve the above equation: $(ln4-2ln3)x=ln4$, thus $x=\frac{ln4}{ln4-2ln3}\approx-1.710$ Step 3. In set form $\{-1.710 \}$
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