Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 74

Answer

$x=3$

Work Step by Step

Make both sides have a base of 2 by writing $4$ as $2^2$ to obtain: $(2^2)^x=2^6 \\2^{2\cdot x}=2^6 \\2^{2x}=2^6$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $2x=6 \\x=\frac{6}{2} \\x=3$
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