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Is there any simplification or other interesting transformation of:

$$\log_e{(1+e^x)}$$

(where $x \in \mathbb{R}$) ?

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    No. ${}{}{}{}{}$2012-10-16
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    @WillJagy Why not?2012-10-16
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    @robjohn, I know how to prove the expression is not equal to a fixed candidate function, such as $\frac{1}{2} \left( x + \sqrt{1 + x^2}\right),$ but I do not know how to answer Why Not at a precalculus level.2012-10-20

2 Answers 2