Is it true that `x=e^(logx)` for all real

Explanation

To determine whether the equation \( x = e^{\log x} \) holds true for all real values of \( x \), we will analyze the equation step by step.

### Step 1: Understanding the Equation
The equation we are examining is \( x = e^{\log x} \). Here, \( \log x \) refers to the natural logarithm (base \( e \)).

### Step 2: Check for \( x = 0 \)
Let's first check if the equation holds when \( x = 0 \):
\[
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