logarithm

Calculus log

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Function : log

Summary :

The log function calculates the logarithm of a number online.

Log online

Description :

Logarithm function

The logarithm function is defined for any number belonging to the interval ]0,`+oo`[, it notes log.

The logarithm calculator allows calculation of this type of logarithm online.

  1. Calculation of the logarithm
  2. For the calculation of logarithm of a number, just enter the number and apply the function log. Thus, for calculating logarithm of the number 1, you must enter log(`1`) or directly 1, if the button log already appears, the result 0 is returned.

  3. Derivative of logarithm
  4. The derivative of the logarithm is equal to `1/(x*ln(10))`.

  5. Antiderivative of logarithm
  6. The antiderivative of the logarithm is equal to `(x*ln(x)-x)/ln(10)`.

  7. Limits of logarithm
    • The limits of the logarithm exist at `0` and `+oo`:
    • The logarithm function has a limit in `0` which is `-oo`.
      • `lim_(x->0)log(x)=-oo`
    • The logarithm function has a limit in `+oo` which is `+oo`.
      • `lim_(x->+oo)log(x)=+oo`

The log function calculates the logarithm of a number online.


Syntax :

log(x), x is a number.


Examples :

log(1), returns 0


Derivative logarithm :

To differentiate function logarithm online, it is possible to use the derivative calculator which allows the calculation of the derivative of the logarithm function

The derivative of log(x) is derivative(`log(x)`)=`1/(ln(10)*x)`


Antiderivative logarithm :

Antiderivative calculator allows to calculate an antiderivative of logarithm function.

An antiderivative of log(x) is antiderivative(`log(x)`)=`(x*log(x)-x)/ln(10)`


Limit logarithm :

The limit calculator allows the calculation of limits of the logarithm function.

The limit of log(x) is limit(`log(x)`)


Graphic logarithm :

The graphing calculator is able to plot logarithm function in its definition interval.


Calculate online with log (logarithm)
See also :