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Natural logarithm of real numbers
Function
| definiendum | $\mathrm{ln}:\mathbb R_+^*\to \mathbb R$ |
| postulate | $\mathrm{ln}=\mathrm{exp}^{-1}$ |
$\int_1^y \frac {1 } {x} {\mathrm d}x = \ln(y) $
$\int_0^{y} \frac {1 } {1+x } {\mathrm d}x = \ln(1+y) $
The function $\frac{x}{x-1}\log(x)$ is one without bad behaviours (singularities) on $[0,\infty)$.
Subset of
Context
