Simply put, ln is a logarithmic function based on e, and b = e a is equivalent to a=lnb.

Logarithm based on constant e. Write lnn (n >; 0)。 It is of great significance in physics, biology and other natural sciences. The general representation is lnx. Logx is also commonly used in mathematics to represent natural logarithm. In order to avoid confusion with the commonly used logarithm lgx based on 10, you can use "write all" ex.

The meaning of constant e is the limit value that can be achieved by doubling the growth continuously in unit time.

Extended data

Arithmetic of logarithm:

1、log(a) (M N)=log(a) M+log(a) N

2、log(a) (M÷N)=log(a) M-log(a) N

Log (m n = nlog (a)

4、log(a)b*log(b)a= 1

log(a) b=log (c) b÷log (c) a

Algorithm of exponent:

1, [a m] × [a n] = a (m+n) is the same as the base power, the base number is constant, and the exponents are added.

2.[a m]⊙[a n]= a(m-n) Divide by the power with the same base, and subtract the exponent with the same base.

3. [a m] n = the power of a (Mn), the cardinality is unchanged, exponential multiplication?

4. The power of the product of [ab] m = (a m) × (a m) is equal to the power of each factor, and then multiplied by the obtained power.