Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Cumulative Review: 47

Answer

{$6$}

Work Step by Step

Step 1: $4^{x+3}=8^{x}$ Step 2: $(2^{2})^{x+3}=(2^{3})^{x}$ Step 3: $2^{2x+6}=2^{3x}$ Step 4: Equating the exponents, $2x+6=3x$ Step 5: $3x=2x+6$ Step 6: $3x-2x=2x-2x+6$ Step 7: $x=6$ Step 8: Therefore, the solution set is {$6$}.
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