Log 0: When the argument of a logarithm is

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. 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: Logarithm Natural Log Log vs ln (Natural log) Log Rules Logarithm Formulas Change of Base Formula in Log Properties of Logarithms Log Table Antilog Table Logarithmic Function Logarithmic Equations Application of Logarithm Logarithm Practice Questions Practice and test your understanding of logarithms with quizzes, MCQs, and problem-solving exercises. Quiz about Logarithm Logarithm MCQs Logarithmic Functions Practice Problems Logarithm for Aptitude Preparation Prepare for competitive exams ... What is the Value of Log 0? The value of the Log 0 is not defined for any base of the logarithm. In other words, we can say that the value of Log 0 is infinity. We cannot get any power which when raised to any number gives the result 0 so, the Log of 0 is undefined.