Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 26



Work Step by Step

$4^{-3t}=0.10$ $\log_44^{-3t}=\log_40.10~~$ (Using the Inverse Property: $\log_aa^x=x$): $-3t=\log_40.10$ $t=-\frac{1}{3}\log_40.10=-\frac{1}{3}\frac{\ln0.10}{\ln4}\approx0.554$
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