Answer
$$x.$$
Work Step by Step
$$
\left|\begin{array}{rrr}{x} & {x\ln x} \\ {1} & {1+\ln x}\end{array}\right|=(x)(1+\ln x)-(1)(x\ln x)=x.
$$
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 3 - Determinants - 3.1 The Determination of a Matrix - 3.1 Exercises - Page 111: 58
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