Let's assume a base 10, although the following reasoning works for any other base as well (e.g., for natural logarithms, base e) .
x = log10100
is defined as the solution of:
10x = 100
And the solution is 2. On the other hand,
x = log100
is the solution of:
10x = 0
This has no solution, as you can easily verify. If the exponent, x, gets smaller and smaller (tending towards minus infinity), the expression gets closer and closer to zero, but never quite reaches it.
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An undefined slope will always be a vertical line through any point of choice where the value of x = 0; while the y value changes indefinitely, the value of x will always equal zero, and therefore is undefined.
(1,0)
a value of zero in the denominator makes the fraction undefined
The value of the common logarithm is undefined at 0.
Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.