Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Skill Practice - Page 425: 82c

Answer

$x=-3$ or $x=1$

Work Step by Step

$(4^x)^{x+2}=64\\4^{x(x+2)}=4^3$ Thus $x(x+2)=3\\x^2+2x-3=0\\(x+3)(x-1)=0$ Thus $x=-3$ or $x=1$
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