Answer
$x=12$.
Work Step by Step
$3^{x}=27^{4}$
$3^{x}=(3^{3})^{4}$ (since $3^{3}=27$)
$3^{x}=3^{12}$ (since $(a^{b})^{c}=a^{bc}$)
$x=12$.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 438: 68
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