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:
$2x=6
\\x=\frac{6}{2}
\\x=3$
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: 74
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
