Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Cumulative Review - Page 670: 36

Answer

$x=\dfrac{5}{8}$

Work Step by Step

The value of $x$ in the expression $ \log_4 10-\log_4 x =2 $ is \begin{array}{l} \log_4 \dfrac{10}{x}=2 \text{...use properties of logarithms} \\\\ 4^2=\dfrac{10}{x} \text{...convert to exponential form} \\\\ 16=\dfrac{10}{x} \\\\ 16x=10 \text{...cross multiply} \\\\ x=\dfrac{10}{16} \\\\ x=\dfrac{5}{8} .\end{array}
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