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: 3

Answer

{$\frac{\log 5}{\log 9}$}, {$0.7325$}

Work Step by Step

$9^{x}=5$ $\log 9^{x}=\log 5$ $x\log 9=\log 5$ $x=\frac{\log 5}{\log 9}\approx\frac{0.698970}{0.954243}\approx0.7325$ The exact solution is {$\frac{\log 5}{\log 9}$} while the solution to 4 decimal places is {$0.7325$}.
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