Is there any simplification or other interesting transformation of:
$$\log_e{(1+e^x)}$$
(where $x \in \mathbb{R}$) ?
algebra-precalculus
asked 2012-10-16
user id:22933
1k
22gold badges1515silver badges3131bronze badges
7
No. ${}{}{}{}{}$ – 2012-10-16
0
@WillJagy Why not? – 2012-10-16
0
@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