Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set - Page 896: 20



Work Step by Step

$\log_{4}10-\log_{4}x=2$ Combine $\log_{4}10-\log_{4}x$ as the $\log$ of a division: $\log_{4}\dfrac{10}{x}=2$ Rewrite this equation in exponential form: $4^{2}=\dfrac{10}{x}$ $\dfrac{10}{x}=16$ Solve for $x$: $\dfrac{x}{10}=\dfrac{1}{16}$ $x=\dfrac{10}{16}$ $x=\dfrac{5}{8}$
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