Math Problem Statement

The domain of the function f(x) = sqrt(ln(e^(x - ln(x)))) is:

Solution

Let's analyze the given function f(x)=ln⁡(ex−ln⁡x)f(x) = \sqrt{\ln\left(e^{x - \ln x}\right)} and determine its

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Math Problem Analysis

Mathematical Concepts

Functions
Logarithms
Exponential Functions
Domain of a Function

Formulas

f(x) = sqrt(ln(e^(x - ln(x))))

Theorems

Properties of Logarithms
Domain of Square Root Functions

Suitable Grade Level

Grades 11-12 or College-level Mathematics

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