# Complex.Log Method (Complex)

Silverlight

Returns the natural (base e) logarithm of a specified complex number.

Namespace:  System.Numerics
Assembly:  System.Numerics (in System.Numerics.dll)

## Syntax

```public static Complex Log(
Complex value
)
```

#### Parameters

value
Type: System.Numerics.Complex
A complex number.

#### Return Value

Type: System.Numerics.Complex
The natural (base e) logarithm of value.

## Remarks

The Log(Complex) method for complex numbers corresponds to the Math.Log(Double) method for real numbers.

## Examples

The following example illustrates the Log method. It shows that, with some allowance for the lack of precision of the Double data type, passing the value returned by the Log method to the Exp method returns the original Complex value.

```
using System;
using System.Numerics;

public class Example
{
public static void Demo(System.Windows.Controls.TextBlock outputBlock)
{
Complex[] values = { new Complex(1.53, 9.26),
new Complex(2.53, -8.12),
new Complex(-2.81, 5.32),
new Complex(-1.09, -3.43),
new Complex(Double.MinValue/2, Double.MinValue/2) };
foreach (Complex value in values)
outputBlock.Text += String.Format("Exp(Log({0}) = {1}", value,
Complex.Exp(Complex.Log(value))) + "\n";
}
}
// The example displays the following output:
//       Exp(Log((1.53, 9.26)) = (1.53, 9.26)
//       Exp(Log((2.53, -8.12)) = (2.53, -8.12)
//       Exp(Log((-2.81, 5.32)) = (-2.81, 5.32)
//       Exp(Log((-1.09, -3.43)) = (-1.09, -3.43)
//       Exp(Log((-8.98846567431158E+307, -8.98846567431158E+307)) = (-8.98846567431161E+307, -8.98846567431161E+307)

```

## Version Information

#### Silverlight

Supported in: 5, 4

## Platforms

For a list of the operating systems and browsers that are supported by Silverlight, see Supported Operating Systems and Browsers.