[Term Entry] C# Math-functions: Log()

content/c-sharp/concepts/math-functions/terms/log/log.md

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+---
+Title: 'Log()'
+Description: 'Returns the logarithm of a specified real number, using base e or a specified base.'
+Subjects:
+  - 'Code Foundations'
+  - 'Computer Science'
+Tags:
+  - 'Arithmetic'
+  - 'Method'
+  - 'Numbers'
+CatalogContent:
+  - 'learn-c-sharp'
+  - 'paths/computer-science'
+---
+
+The **`Math.Log()`** is a static method that returns the logarithm of a specified real number. By default, it calculates the natural logarithm (base e), but it can also compute logarithms using a specified base.
+
+## Syntax
+
+```pseudo
+Math.Log(value, baseValue)
+```
+
+**Parameters:**
+
+- `value` (double): The real number whose logarithm is to be found. It must be greater than 0.
+- `baseValue` (double, optional): The base of the logarithm.
+
+**Return value:**
+
+Returns the logarithm of a specified real number.
+
+> **Note**: If parameter `baseValue` isn't specified, `Math.Log()` returns the natural (base e) logarithm of the specified real number.
+
+## Example 1
+
+The following example demonstrates the `Math.Log()` method and writes the result to the console:
+
+```cs
+using System;
+
+class Program
+{
+  static void Main()
+  {
+    double num = 2.0;
+    double result = Math.Log(num);
+    Console.WriteLine(result);
+  }
+}
+```
+
+The example will result in the following output:
+
+```shell
+0.693147180559945
+```
+
+## Codebyte Example
+
+In this example, the `Math.Log()` method is used to get the logarithm of 100 using 10 as the base, and then, it writes the result to the console:
+
+```codebyte/csharp
+using System;
+
+class Program
+{
+  static void Main()
+  {
+    double num = 100;
+    double newBase = 10;
+    double result = Math.Log(num, newBase);
+    Console.WriteLine(result);
+  }
+}
+```