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: 85

Answer

$x=49$

Work Step by Step

Converting to exponential form, the solution to the given logarithmic equation, $ \log_x{7}=\dfrac{1}{2} ,$ is: \begin{array}{l}\require{cancel} x^{1/2}=7 \\\\ \sqrt{x}=7 \\\\ \left( \sqrt{x} \right)^2=(7)^2 \\\\ x=49 .\end{array}
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