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 469: 20

Answer

$\{-5.057 \}$

Work Step by Step

Step 1. Take natural logarithm on both sides to get $(x-4)ln3=(2x+5)ln7$ Step 2. Solve the above equation: $(ln3-2ln7)x=5ln7+4ln3$, thus $x=\frac{5ln7+4ln3}{ln3-2ln7}\approx-5.057$ Step 3. In set form $\{-5.057 \}$
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