1.lnx+ lny=lnxy

2.lnx-lny=ln(x/y)

3.lnx？ =nlnx

4.ln(？ √x)=lnx/n

5.lne= 1

6.ln 1=0

Extended content:

Logarithmic operation is a special operation method. Refers to the logarithm of product, quotient, power and square root.

In mathematics, logarithm is the inverse of power, just as division is the reciprocal of multiplication, and vice versa. This means that the logarithm of a number is an exponent that must produce another fixed number (radix). In a simple example, the logarithmic count factor in the multiplier.

More generally, the power operation allows any positive real number to be raised to any power, and always produces positive results, so the logarithm of any two positive real numbers b and x whose b is not equal to 1 can be calculated.

From the mutual conversion relationship between exponent and logarithm, we can draw the following conclusions:

1. The logarithm of the product of two positive numbers is equal to the sum of the logarithms of these two numbers with the same radix, namely

2. The logarithm of the quotient of two positive numbers is equal to the difference between the logarithm of the dividend at the same base and the logarithm of the divisor, that is

The logarithm of a positive power of 3 is equal to the logarithm of the base of the power multiplied by the exponent of the power, i.e.

4. If the power exponent in the formula has the following logarithmic operation rules for the positive number arithmetic root: the logarithm of the positive number arithmetic root is equal to the logarithm of the square root divided by the root exponent, that is

References:

Logarithm-Baidu Encyclopedia