Question

does log base 2 of 0 exist? give reasons ​

Answer 1

No it doesn't
because log is defined only for numbers greater than zero but not zero and negative numbers.

Answer 2

Answer:

Log base 2, also known as the binary logarithm, is the logarithm to the base 2. The binary logarithm of x is the power to which the number 2 must be raised to obtain the value x. For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1 and the binary logarithm of 4 is 2.