Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Review: 92

Answer

{$9,-1$}

Work Step by Step

Step 1: $\log_{3} (x^{2}-8x)=2$ Step 2: $(x^{2}-8x)=3^{2}$ Step 3: $(x^{2}-8x)=9$ Step 4: $x^{2}-8x-9=0$ Step 5: $x^{2}+1x-9x-9=0$ Step 6: $x(x+1)-9(x+1)=8$ Step 7: $(x+1)(x-9)=0$ Step 8: $x=-1$ or $x=9$ Therefore, the solution set is {$9,-1$}.
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