Answer
$x=12$
Work Step by Step
Make both sides have a base of 3 by writing $27$ as $3^3$ to obtain:
$3^x=(3^3)^4
\\3^x=3^{3\cdot 4}
\\3^x=3^{12}$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=12$
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: 72
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