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Let's simplify the given expression step by step:

\[
\exp[\ln(x)] - \ln[\exp(x)]
\]

1. **Simplifying \( \exp[\ln(x)] \):**
   - The exponential function \( \exp \) and the natural logarithm \( \ln \) are inverse functions. Therefore:
   \[
   \exp[\ln(x)] = x
   \]
   (This simplification holds for \( x > 0 \), as the logarithm is only defined for positive values of \( x \)).

2. **Simplifying \( \

Simplify the expression exp[ln(x)] - ln[exp(x)] and indicate the domain of the function associated with the corresponding expression.

Learn how to simplify the mathematical expression exp[ln(x)] - ln[exp(x)] step by step. This problem covers key concepts of exponential and logarithmic functions, including their inverse relationship. Suitable for students in Grades 10-12 or GCSE-level.

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