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

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