Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-6 - Cumulative Review: 15

Answer

$x = 4$

Work Step by Step

$4(3^{x}) + 25 = 8(3^{x}) - 299$ $4(3^{x}) - 8(3^{x}) = -299 - 25$ $(4-8)(3^{x}) = -324$ $-4(3^{x}) = -324$ $3^{x} = 81$ $3^{x} = 3^{4}$ $x = 4$ Check: $4(3^{4}) + 25 \overset{?}{=} 8(3^{4}) - 299$ $4(81) + 25 \overset{?}{=} 8(81) - 299$ $324 + 25 \overset{?}{=} 648 - 299$ $324 + 25 \overset{?}{=} 648 - 299$ $349 = 349$
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