Question

does log power0 base 2 exists ?give reason​

Answer 1

If you mean to ask that if

log₂(0) is defined or not

Then the answer is not . The logarithm function has the domain of only all non zero values for its argument to give out a complex result. and only postive for only real outputs

As, we Input zero. None of any complex number satisfies the condition that

if x = log₂(0)

then, 0 = 2ˣ

Except (−∞), which is undefined in itself , as ∞ is neither a real number nor a complex number.

Therefore;

log₂(0) is undef