Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 491: 142


The statement is false. To make it true, replace the last equation with $10^{4}=\displaystyle \frac{7x+3}{2x-5}$

Work Step by Step

No. Before writing in exponential form, the LHS must be written as one logarithm. This is achieved by applying the quotient rule: $\displaystyle \log\frac{7x+3}{2x-5}=4$ Now we write this in exponential form using $y=\log_{b}x \Leftrightarrow x=b^{y}$, $10^{4}=\displaystyle \frac{7x+3}{2x-5}$
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