Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises - Page 457: 78

Answer

$4=\log_x{y}$

Work Step by Step

Take the log base $x$ of both sides: $$\log_x{\left(x^4\right)}=\log_x{y}$$ Use the rule $\log_a{\left(a^x\right)}=x$ to obtain $$4=\log_x{y}$$
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