Logarithm rules and propertiesLogarithm Rules The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. Logarithm definition Logarithm rules Logarithm problems Complex logarithm Graph of log (x) Logarithm table Logarithm calculator Logarithm definition When b is raised to the power of y is equal x: b y = x Then the base b logarithm of x is equal to y: log b (x) = y For example when: 2 4 = 16 Then log 2 (16) = 4 Logarithm as inverse function ... Why log (0) is not defined. The real logarithmic function log b (x) is defined only for x>0. We can't find a number x, so the base b raised to the power of x is equal to zero: So the base b logarithm of zero is not defined. For example the base 10 logarithm of 0 is not defined: When the argument of a logarithm is a fraction, the logarithm can be re-written as the subtraction of the logarithm of the numerator minus the logarithm of the denominator. If there is an exponent in the argument of a logarithm, the exponent can be pulled out of the logarithm and multiplied. Find the value of Log 0 for Log function with base 10 and base e on infinitylearn.com. Understand and calculate the value of log 0.
