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: 91

Answer

1. Exponential equation 2. $x = 3$

Work Step by Step

1. Exponential equation The variable is the exponent. 2. Solve $3(4^{x}) + 20 = 212$ $3(4^{x}) = 212 - 20$ $3(4^{x}) = 192$ $4^{x} = 64$ $4^{x} = 4^{3}$ $x = 3$ Check: $ 3(4^{x}) + 20$ $= 3(4^{3}) + 20$ $= 3(64) + 20$ $= 192 + 20$ $= 212$
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