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: 5

Answer

$x=\dfrac{\log3.8}{2\log3}\approx0.6076$

Work Step by Step

$3^{2x}=3.8$ Apply $\log$ to both sides of the equation: $\log3^{2x}=\log3.8$ Take $2x$ down to multiply in front of its respective $\log$: $2x\log3=\log3.8$ Solve for $x$: $2x=\dfrac{\log3.8}{\log3}$ $x=\dfrac{\log3.8}{2\log3}\approx0.6076$
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