You can put this solution on YOUR website! A logarithm is only defined for positive numbers. The reason is that for most negative numbers, powering then to, say, degree is impossible. Power of 1/2 means square root and, as we know, there is no real number representing a square root of a negative. So, non-integer powers and logarithms are defined only for positive numbers.
You can put this solution on YOUR website! The logarithm of this negative number is complex number
Consisting of a real and imaginary, in the form of a+bi,
where a - is the real part
b -s the imaginary part