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: 6

Answer

$x=\dfrac{\log5.6}{3\log5}\approx0.3568$

Work Step by Step

$5^{3x}=5.6$ Apply $\log$ to both sides of the equation: $\log5^{3x}=\log5.6$ Take $3x$ down to multiply in front of its respective $\log$: $3x\log5=\log5.6$ Solve for $x$: $3x=\dfrac{\log5.6}{\log5}$ $x=\dfrac{\log5.6}{3\log5}\approx0.3568$
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