College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.5 - Exponential and Logarithmic Equations - 4.5 Exercises - Page 446: 26

Answer

$x\approx9.0952$

Work Step by Step

Transpose -4 to the other side. $3(1.4)^x=64$ Divide both sides by 3. $(1.4)^x=\frac{64}{3}$ Take the logarithm of both sides $x\log1.4=\log(\frac{64}{3})$ $x=\frac{\log(64/3)}{\log1.4}\approx9.0952$
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