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: 2


{$\frac{\log 7}{\log 4}$}, {$1.4037$}

Work Step by Step

$4^{x}=7$ $\log 4^{x}=\log 7$ $x\log 4=\log 7$ $x=\frac{\log 7}{\log 4}\approx\frac{0.845098}{0.602060}\approx1.4037$ The exact solution is {$\frac{\log 7}{\log 4}$} while the solution to 4 decimal places is {$1.4037$}.
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