The logarithmic function is not defined for zero or negative numbers.
Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers.
(Wait until you get to complex analysis, though!)
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The product of three negative numbers is negative.
They will be negative numbers as for example -5+(-7) = -12
No, it is measured in positive numbers but it can be represented by negative numbers.
12
Yes, the product of three negative numbers is always a negative number.