Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.3 Logarithmic Functions - 12.3 Exercise Set: 82

Answer

$x=2$

Work Step by Step

Converting to exponential form, the given logarithmic equation, $ \log_5{25}=x ,$ is equivalent to \begin{array}{l}\require{cancel} 5^x=25 \\\\ 5^x=5^2=25 .\end{array} We have now found what value x makes the above statement, $5^x=25$, true: \begin{array}{l}\require{cancel} x=2 .\end{array}
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