College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding - Page 450: 101


$x =\dfrac{\ln{10}}{3}$

Work Step by Step

Take the natural logarithm of both sides to obtain: $\ln{e^{3x}} = \ln{10}$ RECALL: $\ln{e^a} = a$ Use the rule above to obtain: $3x=\ln{10}$ Divide by 3 on both sides of the equation to obtain: $x =\dfrac{\ln{10}}{3}$
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