Documentation/Calc Functions/LN
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LN
Kategori:
Matematisk
Resume:
Returnerer den naturlige logaritme af et tal baseret på konstanten e. Konstanten e har en værdi på tilnærmelsesvis 2,71828182845904.
Syntaks:
LN(Number)
Returnerer:
Returnerer et naturligt tal.
Argumenter:
Tallet er det reelle tal eller en reference til en celle, der indeholder det tal, hvis naturlige logaritme skal beregnes.
- Hvis tallet er negativt eller 0, så returnerer funktionen en fejlværdi.
- If Number is less than or equal to 0, then LN reports an invalid argument error (Fejl:502).
Yderligere oplysninger:
- For any positive real number x, [math]\displaystyle{ e^{\text{ln}(x)}=x }[/math] and [math]\displaystyle{ \text {ln}(e^x)=x }[/math].
- A series expansion for the natural logarithm of the positive real number x is:
[math]\displaystyle{ \text{ln}(x)~=~2 \left(\left(\frac{x-1}{x+1}\right)+\frac{1}{3} \left(\frac{x-1}{x+1}\right)^3 +\frac{1}{5} \left(\frac{x-1}{x+1}\right)^5+...\right) }[/math]
- To convert the natural logarithm of a positive real number x to a common logarithm (base-10), use the formula [math]\displaystyle{ \text{log}(x)=\text{ln}(x)~/~\text{ln}(10) }[/math].
- Additional information about natural logarithms can be found at Wikipedia's Natural logarithm page.
- GIFen herunder illustrerer funktionen LN.
Eksempler:
| Formel | Beskrivelse | Returnerer |
|---|---|---|
| =LN(3,5) | Here the function returns the natural logarithm of 3.5. | 1,25276296849537 |
| =LN(0,5) | Here the function returns the natural logarithm of 0.5. | −0.693147180559945 |
| =LN(D1) where cell D1 contains the value 1. | Here the function returns the natural logarithm of 1. | 0 |
| =LN(EKSP(1)) | Here the function returns the natural logarithm of the constant e. | 1 |
| =LN(EKSP(345)) | Here the function returns the natural logarithm of e raised to the power of 345, which is 345. | 345 |
| =EKSP(LN(789)) | Here the function returns e raised to the power of the natural logarithm of 789, which is 789. | 789 |
Beslægtede LibreOffice-funktioner:
ODF standard:
Relaterede (eller lignende) Excel-funktioner:
LN