Intermediate Algebra: Connecting Concepts through Application

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

Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises: 56

Answer

$x = 4$

Work Step by Step

$5(3^{x}) - 4(3^{x}) = 81$ $(5-4)(3^{x}) = 81$ $1(3^{x}) = 81$ $3^{x} = 81$ $3^{x} = 3^{4}$ $x = 4$ Check: $ 5(3^{x}) - 4(3^{x})$ $ = 5(3^{4}) - 4(3^{4})$ $= 5(81) - 4(81)$ $= 405 - 324$ $= 81$
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