The natural logarithm is the logarithm based on the constant e, and the source of e is the n power of (1+ 1/n). Find the limit of n.. Write lnn (n >; 0)。 It is of great significance in physics, biology and other natural sciences, and is generally expressed as lnx. Logx is also commonly used in mathematics to represent natural logarithm.

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.

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.

In addition, because the logarithmic function log(x) grows very slowly for larger x, the logarithmic scale is used to compress large-scale scientific data. Logarithm also appears in many scientific formulas, such as tsiolkovsky rocket equation, Fenske equation or Nernst equation.