Difference between revisions of "E"
From specialfunctionswiki
| Line 7: | Line 7: | ||
[[e is irrational]]<br /> | [[e is irrational]]<br /> | ||
[[Log e(z)=log(z)]]<br /> | [[Log e(z)=log(z)]]<br /> | ||
| + | [[Log 10(z)=log 10(e)log(z)]]<br /> | ||
=References= | =References= | ||
Latest revision as of 19:35, 25 June 2017
We define the real number $e$ to be the number such that $$\displaystyle\int_1^e \dfrac{1}{t} \mathrm{d}t=1.$$ By the definition of the logarithm, we have $\log(e)=1$. The value of $e$ is $$e=2.71828182846\ldots.$$
Properties
Euler's formula
e is irrational
Log e(z)=log(z)
Log 10(z)=log 10(e)log(z)
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.16$
