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C# | Math.Log() Method

Last Updated : 11 Jul, 2025
In C#, Math.Log() is a Math class method. It is used to return the logarithm of a specified number. This method can be overloaded by changing the number of the arguments passed. There are total 2 methods in the overload list of the Math.Log() method as follows:
  • Math.Log(Double) Method
  • Math.Log(Double, Double) Method
Math.Log(Double) Method
This method is used to return the natural (base e) logarithm of a specified number. Syntax:
public static double Log(double val)
Parameter:
val: It is the specified number whose natural (base e) logarithm to be calculated and its type is System.Double.
Return Value: Returns the natural logarithm of val and its type is System.Double. Note: Parameter val is always specified as a base 10 number.The return value is depend on the argument passed. Below are some cases:
  • If the argument is positive then method will return the natural logarithm or loge(val).
  • If the argument is zero, then the result is NegativeInfinity.
  • If the argument is Negative(less than zero) or equal to NaN, then the result is NaN.
  • If the argument is PositiveInfinity, then the result is PositiveInfinity.
  • If the argument is NegativeInfinity, then the result is NaN.
Example:
Output:
1.51512723296286
-Infinity
NaN
NaN
Infinity
NaN
Math.Log(Double, Double) Method
This method is used to return the logarithm of a specified number in a specified base. Syntax:
public static double Log(double val, double base)
Parameter:
val: It is the specified number whose logarithm to be calculated and its type is System.Double. base: It is the base of the logarithm of type System.Double.
Return Value: It returns the logarithm of val and its type is System.Double. Note: The return value is always depend on the argument passed. Below table depicts the different cases:
val base Returned Value
val > 0 (0 < Base < 1) or(Base > 1) logbase(val)
val < 0 any value NaN
any value base < 0 NaN
val != 1 base = 0 NaN
val != 1 base = +ve Infinity NaN
val = NaN any value NaN
any value base = NaN NaN
any value base = 1 NaN
val = 0 (0 < Base < 1) +ve Infinity
val = 0 base > 1 -ve Infinity
val = +ve Infinity (0 < Base < 1) -ve Infinity
val = +ve Infinity base > 1 +ve Infinity
val = 1 base = 0 0
val = 1 base = +ve Infinity 0
Example:
Output:
-0.217915440884381
-0.5
NaN
NaN

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