Question

define common and natural logarithms ??​

Answer 1

Answer:

Natural logarithm - logarithm of a number to the base e (e=2.7182) is called natural logarithm.

Common logarithm - logarithm of a number to the base 10 is called common logarithm. in all practical calculations we always use common logarithm.

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Answer 2

Answer:

The common logarithm has base 10, and is represented on the calculator as log(x). The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). The natural and common logarithm can be found throughout Algebra and Calculus.

Explanation:

Common logarithm:- A common logarithm is any logarithm with base 10. Recall that our number system is base 10; there are ten digits from 0-9, andk place value is determined by groups of ten. You can remember a “common logarithm,” then, as any logarithm whose base is our “common” base, 10.

Natural logarithm:- Natural logarithms are different than common logarithms. While the base of a common logarithm is 10, the base of a natural logarithm is the special number e. Although this looks like a variable, it represents a fixed irrational number approximately equal to 2.718281828459. (Like pi, it continues without a repeating pattern in its digits.) e is sometimes called Euler′s number or Napier’s constant, and the letter e was chosen to honor the mathematician Leonhard Euler (pronounced oiler).