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: 54

Answer

$k = 3$

Work Step by Step

$4(5^{k}) + 8(5^{k}) = 1500$ $(4 + 8)(5^{k}) = 1500$ $12(5^{k}) = 1500$ $5^{k} = 125$ $5^{k} = 5^{3}$ $ k = 3$ Check: $ 4(5^{k}) + 8(5^{k})$ $= 4(5^{3}) + 8(5^{3})$ $= 4(125) + 8(125)$ $= 500 + 1000$ $= 1500$
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