## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set - Page 726: 19

#### Answer

$x\approx 1.74$

#### Work Step by Step

RECALL: $\ln{e^x} = x$ Use the rule above to obtain: $\ln{(e^x)}=\ln{5.7} \\x = \ln{5.7}$ Use a scientific calculator to obtain: $x =1.740466175 \\x\approx 1.74$ The solution set is $\left\{{1.74}\right\}$.

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