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: 98

Answer

1. Exponential equation 2. $t = 2$

Work Step by Step

1. Exponential equation The variable is the exponent. 2. Solve $(\frac{1}{4})^{t} = (\frac{1}{16})$ $4^{-t} = 16^{-1}$ $4^{-t} = 4^{-2}$ $-t = -2$ $t = 2$ Check: $= (\frac{1}{4})^{2}$ $= \frac{1}{16}$
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