Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Review: 86

Answer

{$\frac{\log 7}{2\log 3}$} , {$0.8856$}

Work Step by Step

Step 1: $3^{2x}=7$ Step 2: $\log 3^{2x}=\log 7$ Step 3: $2x\log 3=\log 7$ Step 4: $x=\frac{\log 7}{2\log 3}\approx0.8856$ Therefore, the exact solution is {$\frac{\log 7}{2\log 3}$} whereas the four decimal approximation is {$0.8856$}.
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