Log 0: Here it is $$

Here it is $$ 0=\log 1=\log (-1)^2=2\log (-1) $$ so $\log (-1)=0$ and from the definition of logarithms we have $-1=10^0=1$. This is one of the reasons. But if you still want to take logarithms of negative numbers, you must relax some requirements. The most reasonable is to make logarithms multivalued with values in $\mathbb {C}$. 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. 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: b x = 0 , x does not exist So the base b logarithm of zero is not defined. log b (0) is not defined For example the base 10 logarithm of 0 is not defined: log 10 (0) is ... To calculate the logarithm of a number x with base b, enter your values below. Did we solve your problem today? The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.