Answer
$x=6$
Work Step by Step
Make both sides have a base of 2 by writing $8$ as $2^3$ to obtain:
$(2^3)^2=2^x
\\2^{2\cdot3}=2^x
\\2^6=2^x$
Use the rule "If $a^x=a^y$, then $x=y$" to have:
$6=x$
Algebra 1
by Hall, Prentice
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: 73
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