In mathematics, e is one of the most commonly used transcendental numbers. Usually used as the base of natural logarithm, that is, In(x)= the logarithm of x with base e =2. 7 1828 1828459; Lnx refers to the logarithm of X based on E, so when x=e, the logarithm of E is 1, for example, log 10 = 1.
Logarithmic application
Logarithm has many applications both inside and outside mathematics. Some of these events are related to the concept of scale invariance. For example, each chamber of the Nautilus shell is a rough copy of the next chamber, scaled by a constant factor. This leads to a logarithmic spiral. Benford's law about the distribution of pre-derivatives can also be explained by scale invariance. Logarithm is also related to self-similarity.
For example, the logarithmic algorithm appears in the algorithm analysis, and the algorithm is decomposed into two similar smaller problems, and their solutions are patched, and the problem is solved. The size of self-similar geometric shapes, that is, shapes whose parts are similar to the whole image, is also based on logarithm.