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: 27



Work Step by Step

$3^{2-x}=400$ $\log_33^{2-x}=\log_3400~~$ (Using the Inverse Property: $\log_aa^x=x$): $2-x=\log_3400$ $2-\log_3400=x$ $2-\frac{\ln400}{\ln3}=x$ $x=-3.454$
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