- #1

Topolfractal

- 76

- 7

Does there exist a closed form formula for in(x)?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

In summary, the conversation discusses the existence of a closed form formula for ln(x) and suggests using the Taylor series representation as an approximation. The conversation also addresses the singularity of ln(x) at x=0.

- #1

Topolfractal

- 76

- 7

Does there exist a closed form formula for in(x)?

Mathematics news on Phys.org

- #2

phion

Gold Member

- 175

- 39

- #3

Mark44

Mentor

- 37,744

- 10,088

Typo? You have in instead of ln (lowercase "ell").Topolfractal said:Does there exist a closed form formula for in(x)?

- #4

Topolfractal

- 76

- 7

Ya In(x) is what I meanMark44 said:Typo? You have in instead of ln (lowercase "ell").

- #5

- 22,183

- 3,322

Topolfractal said:Does there exist a closed form formula for in(x)?

What do you mean with closed formula? What functions are you allowed to use?

- #6

mathman

Science Advisor

- 8,140

- 572

Ln(x) has a singularity at x = 0, so you can't have a Taylor series around 0.

No, there is currently no known closed form formula for the natural logarithm function, In(x). This means that it cannot be expressed as a finite combination of elementary functions.

A closed form formula allows for a more efficient and precise calculation of the natural logarithm function. It also helps to simplify complex mathematical equations that involve In(x).

There have been attempts to find a closed form formula for In(x), but so far, none have been successful. It is believed that a closed form solution may not exist for this function.

Mathematicians use numerical methods, such as Taylor series or Newton's method, to approximate the value of In(x). These methods involve breaking down the function into smaller, more manageable parts and using iterative calculations to get closer and closer to the actual value.

Yes, there are several alternative functions that can be used in place of In(x), such as the natural exponential function, e^x, or the common logarithm function, log(x). These functions have a closed form formula and can be used to calculate the natural logarithm indirectly.

- Replies
- 10

- Views
- 1K

- Replies
- 1

- Views
- 896

- Replies
- 2

- Views
- 10K

- Replies
- 3

- Views
- 3K

- Replies
- 12

- Views
- 1K

- Replies
- 19

- Views
- 1K

- Replies
- 20

- Views
- 2K

- Replies
- 1

- Views
- 758

- Replies
- 14

- Views
- 2K

- Replies
- 44

- Views
- 4K

Share: