Logarithm rules for complex numbersAre the logarithm rules true for complex numbers?We know that for...
Logarithm rules for complex numbers
Are the logarithm rules true for complex numbers?
We know that for positive real numbers , , and real number that:
We also know that
Does this extend to complex numbers as , , or ?
My instinct is that
In other words, I'm pretty confident that the last formula works when is a complex number