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: 131

Answer

Solution set = $\{-1.3916,\ 1.6856\}$ (correct to 3 decimal places)

Work Step by Step

Graph the LHS function and the RHS function in the same window. Use TRACE, INTERSECT, or a similar function of your graphing device to find the intersection points. The solution set consists of the x-coordinates of the intersection points. The initial viewing window gives intersections at $ x=-1.392$ and at $ x=1.686$, and LHS=RHS is correct to 2 decimal places. Zooming in, we can refine to better precision, $ x=-1.3916$ and $ x=1.6856$, and LHS=RHS is correct to three decimal places. Solution set = $\{-1.3916,\ 1.6856\}$ (correct to 3 decimal places)
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