Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 477: 137


$$x=\frac{2a+3b}{a-2b}, \quad (a \neq 2b)$$

Work Step by Step

$$a(x-2)=b(2x+3) \quad \Rightarrow \quad ax-2a=2bx+3b \quad \Rightarrow \quad (a-2b) x=2a+3b \quad \Rightarrow \quad x= \frac{2a+3b}{a-2b}, \quad (a \neq 2b)$$
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