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: 36



Work Step by Step

$8(4^{6-2x})+13=41$ $8(4^{6-2x})=28$ $4^{6-2x}=\frac{28}{8}=\frac{7}{2}$ $\log_44^{6-2x}=\log_4\frac{7}{2}$ $6-2x=\log_4\frac{7}{2}$ $-2x=-6+\log_4\frac{7}{2}$ $x=\frac{-6}{-2}+\frac{\log_4\frac{7}{2}}{-2}=3-\frac{\ln\frac{7}{2}}{2\ln4}=2.548$
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