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 - Page 438: 75



Work Step by Step

Make both sides have a base of 3 by writing $9$ as $3^2$ to obtain: $3^{2x}=(3^2)^4 \\3^{2x}=3^{2 \cdot 4} \\3^{2x}=3^8$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $2x=8 \\x=\frac{8}{2} \\x=4$
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