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: 38



Work Step by Step

$e^{x+1}=2^{x+2}$ $e^x·e=2^x·2^2$ $\frac{e^x}{2^x}=\frac{4}{e}$ $(\frac{e}{2})^x=\frac{4}{e}$ $\log_{\frac{e}{2}}(\frac{e}{2})^x=\log_{\frac{e}{2}}\frac{4}{e}$ $x=\frac{\ln\frac{4}{e}}{\ln\frac{e}{2}}=1.259$
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