The logarithm of the natural logarithm based on the constant e is called lnn(n >;; 0)。 The general representation is lnx, and logx is also commonly used in mathematics to represent natural logarithm.
The meaning of constant e is the limit value that can be achieved by doubling the growth continuously in unit time.
In(x) is loge(x), e is an important limit, e = (1+1/x) x.
When x→∞ reaches the limit, it is e, and its value is about 2.7 1828 1828459, which is an infinite acyclic decimal.
Extended data:
Proof of natural logarithmic identity;
a^log(a)(n)=n(a & gt; 0,a≠ 1)
Deduction: Prove the identity of log (a) (a n) = n.
At a>0 and a≠ 1, n >;; 0 o'clock
Let: when log(a)(N)=t, (t∈R) is satisfied.
Then there is a t = n;;
a^(log(a)(n))=a^t=n;
Demonstration
Baidu encyclopedia-natural logarithm