Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Review: 102

Answer

{$\frac{7}{2}$}

Work Step by Step

Step 1: $9^{x-2}=27$ Step 2: $(3^{2})^{x-2}=3^{3}$ Step 3: $3^{2x-4}=3^{3}$ Step 4: $2x-4=3$ Step 5: $2x=3+4$ Step 6: $2x=7$ Step 7: $x=\frac{7}{2}$ Therefore, the solution set is {$\frac{7}{2}$}.
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