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: 81

Answer

$x=5 $

Work Step by Step

Converting to exponential form, the given logarithmic equation, $ \log_2{32}=x ,$ is equivalent to \begin{array}{l}\require{cancel} 2^x=32 \\\\ 2^x=2^5=32 .\end{array} We have now found what value x makes the above statement, $2^x=32$, true: \begin{array}{l}\require{cancel} x=5 .\end{array}
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