Algebra 2 Common Core

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

Chapter 7 - Exponential and Logarithmic Functions - 7-4 Properties of Logarithms - Practice and Problem-Solving Exercises - Page 468: 84

Answer

$\log_{7}{49}=2$

Work Step by Step

We are given: $49=7^2$ Recall the definition of a logarithm (pg. 451): $\log_{b}{x}=y$ iff $b^y=x$ Applying this definition to our equation ($x=49, b=7, y=2$), we get: $\log_{7}{49}=2$
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