Intermediate Algebra: Connecting Concepts through Application

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

Chapter 6 - Logarithmic Functions - 6.5 Solving Exponential Equations - 6.5 Exercises: 41

Answer

$x = ±2$

Work Step by Step

$2^{x^{2}+6} = 1024$ $2^{x^{2}+6} = 2^{10}$ $x^{2} + 6 = 10$ $x^{2} = 10 - 6$ $x^{2} = 4$ $x = ±\sqrt 4$ $x = ±2$
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