Why negative numbers are not allowed in loga rithim?
A calculation like:
x = log10100
is equivalent to solving:
10x = 100
In this case, the solution is 2, so the logarithm is 2. For
negative numbers, you have, for example:
x = log10-1
equivalent to:
10x = -1
But this has no solution: if you raise 10 to any power -
positive, negative, or zero - you always get a positive result.
Therefore, the logarithm is not defined. More specifically, it
isn't defined for real numbers; in the complex number system, a
solution is possible.