Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set - Page 826: 90



Work Step by Step

On the LHS, apply $a^{m}\cdot a^{n}=a^{m+n}.$ On the RHS, recognize $81$ as $3^{4}$ $ 3^{3x+x^{2}}=3^{4}\qquad$ ... apply the exponential equality principle $3x+x^{2}=4$ $x^{2}+3x-4=0$ $(x+1)(x-4)=0$ $x=-1, x=4$
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