The example is basically an image that was made to work on the portrayal of exceptionally huge and tiny numbers, while the logarithm is a computation strategy that has a totally different history of improvement. The antiquated power activity began early, yet the idea of example was framed exceptionally late.

The Greek mathematician Archimedes (287 ~ 212B.C.) when assessed that the sand expected to fill the universe didn't surpass 10 63 grains, while The Greek mathematician Apollonius (Appollonius of Perga, 262 ~ 190B.C.) likewise presented the portrayal of enormous numbers, and we can say that the structure and idea of dramatic documentation previously existed right now.

Around the third century AD, Diophantus of Alexandria additionally fostered the idea of the equal of an example.

In the fourteenth hundred years, the European mathematician Oresme (Nicole Oresme, 1323 ~ 1382) as of now had the idea of reasonable types and genuine examples in his exploration on types. also, actual issues. In the fifteenth and sixteenth hundreds of years, German mathematician Michael Stiefel ( 1487-1567 ) and French mathematician Nicolas Chuquet (1445-1500) presented the idea of negative number examples.

Furthermore, the British mathematician Thomas Harriot (1560 ~ 1620) likewise communicated the positive number force of a number, for example, 5 x self-increasing table as x · x · x · x · x . The Dutch mathematicians Simon Stevin (1548 ~ 1620) and Girard (Albert Girard, 1592 ~ 1632) further concentrated on fragmentary examples, and made a genuinely efficient conversation of the law of whole number types.

As in current arithmetic, the dramatic documentation was presented by the French Mathematician Descartes (René Descartes, 1596 ~ 1650) made x 3 , x 4 , and so on in his 1637 book "Math", however he addressed x to the second power with xx .

In 1655, the British Wallis ( John Wallis, 1616 ~ 1703) proposed the idea and image of negative example, and Newton stretched out the positive whole number type to the levelheaded number type. Toward the finish of the nineteenth hundred years, after the idea of silly numbers was steadily explained, the hypothesis of genuine numbers was totally settled.

The unreasonable number type was then characterized by the boundless estimate of the objective number arrangement, in this manner stretching out the idea of example to genuine numbers.

In 1748, the Swiss mathematician Euler (L. Euler, 1707 ~ 1783) gave Euler 's equation:

e^ ix = cos x + I sin x , for any intricate number

z = x + yi ( x , y is a genuine number) ,definition

e ^z = e^ x + yi = e ^x ( cos y + I sin y )

For a positive genuine number a, by re-characterizing a^z = e^z ln a through the situation a = e^ ln a ( where ln addresses the logarithm to the base e ) , the example powers are reached out to complex numbers. The idea of dramatic completely developed later than logarithm, and it was exclusively in the eighteenth century that individuals comprehended the "backwards work" connection between the logarithmic capacity and the outstanding capacity.