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: 30



Work Step by Step

$8(3^{6-x})=40$ $3^{6-x}=5$ $\log_33^{6-x}=\log_35~~$ (Using the Inverse Property $\log_aa^x=x$): $6-x=\log_35=\frac{\ln5}{\ln3}$ $6-\frac{\ln5}{\ln3}=x$ $x=4.535$
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