Question

Why cant you take a logrithm of a negative number?

Answer 1

Because a positive number to any power is positive

Answer 2

The base of a logarithm is a positive number. No matter what power you raise it to (and remember the log is the exponent) the result will be positive. So when you make the argument a negative number it is automatically impossible.

Answer 3

you cant take a log of a negative number and expect a real result ....