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: 71

Answer

$x=3$

Work Step by Step

Make both sides have a base of 5 by writing $25$ as $5^2$ to obtain: $5^6=(5^2)^x \\5^6=5^{2\cdot x} \\5^6=5^{2x}$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $6=2x \\\frac{6}{2}=\frac{2x}{2} \\3=x$
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