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 - Practice: 1

Answer

{$\frac{\log5}{\log 2}$}, {$2.3219$}

Work Step by Step

$2^{x}=5$ $\log 2^{x}=\log5$ $x\log 2=\log5$ $x=\frac{\log5}{\log 2}\approx\frac{0.69897}{0.30103}\approx2.3219$ The exact solution is {$\frac{\log5}{\log 2}$} while the solution to four decimal places is {$2.3219$}.
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