Log and lg in the logarithm are both pronounced as [là oge]; Ln in logarithm is pronounced [là oin]. Logarithm is the reciprocal of power just as division is the reciprocal of multiplication, and vice versa. This means that the logarithm of one number is the exponent that must produce another fixed number (radix) and the logarithmic counting factor in the multiplier.

Definition of logarithmic function: it is called logarithmic function, where x is the independent variable. The domain of logarithmic function is. Basic properties of logarithmic function: when x= 1, y=0. It was a decreasing function in the world at that time; At that time, it played an increasingly important role in the world.

Application of logarithmic function of extended data;

According to the principle of logarithmic operation, people invented the logarithmic slide rule. For more than 300 years, the logarithmic slide rule has been an indispensable computing tool for scientists, especially engineers and technicians. It was not until the 1970s that it gave way to electronic calculators. Although the logarithmic slide rule and logarithmic table are no longer important as a calculation tool, the logarithmic thinking method still has vitality.

From the process of logarithmic invention, we can find that Napier did not use the reciprocal relationship between exponent and logarithm when discussing the concept of logarithm. The main reason for this phenomenon is that there was no clear concept of index at that time, and the symbol of index was used by French mathematician Descartes (R.Descartes, 1596- 1650) more than 20 years later.

References:

Baidu encyclopedia-logarithm