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: 53

Answer

$x = 2$

Work Step by Step

$3(6^{x}) + 2(6^{x}) = 180$ $(3+2)(6^{x}) = 180$ $5(6^{x}) = 180$ $6^{x} = 36$ $6^{x} = 6^{2}$ $x = 2$ Check: $ 3(6^{x}) + 2(6^{x})$ $= 3(6^{2}) + 2(6^{2})$ $= 3(36) + 2(36)$ $= 108 + 72$ $= 180$
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