Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Section 12.3 - Exponential Functions - Practice - Page 857: 6

Answer

$x=-2$

Work Step by Step

$9^{x-1} = 27^x$ $9^{x-1} = (9\times9^{1/2})^x$ $9^{x-1} = (9^{3/2})^x$ $9^{x-1} = 9^{\frac{3x}{2}}$ $x-1=\frac{3x}{2}$ $2x-2=3x$ $x=-2$
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