Difference between revisions of "Ln"

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:Ln(0) &rarr -[[INF]]   
 
:Ln(0) &rarr -[[INF]]   
 
:Ln(-1) &rarr [[NaN]]  { With Warning: Logarithm of a non-positive number }
 
:Ln(-1) &rarr [[NaN]]  { With Warning: Logarithm of a non-positive number }
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= Base b Logarithms =
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 +
The base-''b'' logarithm of «x» is given by:
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:Ln(x) / Ln(b)
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 +
For example:
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:Ln(1024) / Ln(2) → 10
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is the base-2 logarithm of 1024, since 1024 = 2<sup>10</sup>
  
 
= See Also =
 
= See Also =

Revision as of 23:58, 20 September 2009


Ln(x)

The natural logarithm of «x». This is the value y such that ey=Exp(y)=x, where e2.718281828459045 is Euler's number.

«x» must be non-negative or a warning will be issued. If the warning is ignored, or Show Result Warnings is off, the result is NaN.

Library

Math functions

Examples

Ln(1) → 0
Ln(2) → 0.6931471805599453
Ln(2.718) → 0.999896315728952
Ln(1/2.718) → -0.999896315728952
Ln(0) &rarr -INF
Ln(-1) &rarr NaN { With Warning: Logarithm of a non-positive number }

Base b Logarithms

The base-b logarithm of «x» is given by:

Ln(x) / Ln(b)

For example:

Ln(1024) / Ln(2) → 10

is the base-2 logarithm of 1024, since 1024 = 210

See Also


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