The algorithm of logarithmic formula is: loga (Mn) = logam+Logan; loga(M/N)= logaM-logaN； LogaNnx=nlogaM. If a=em, then m is the natural logarithm of a, that is, lna=m, e=2.7 1828 1828 ... is the base of the natural logarithm, which is an infinite acyclic decimal. Definition: If an = b(a>；; 0, a≠ 1) Then n=logab.

The operation formula and rule of natural logarithm: loga (Mn) = logam+Logan; loga(M/N)= logaM-logaN； For the n power of m in logaM, there is = nlogaM. If a = e m, then m is the natural logarithm of a, that is, lna=m, e=2.7 1828 1828 ... is the base of the natural logarithm.

E is the initials of "exponent" and also the name of Euler. Like pi and imaginary unit I, e is one of the most important mathematical constants. Jacob took e as a constant for the first time? Bernoulli, who tried to calculate the value of lim (1+1/n) n. In 1727, Euler first expressed this constant with the lowercase letter "e", which later became the standard.

The base e of natural logarithm is an incredible constant. A constant defined by lim (1+ 1/n) n frequently appears in mathematics and physics, which can be said to be everywhere. This really makes us have to fear this magical mathematical world.