For 10 points, name this type of function that is that returns the inverse of an exponential and comes in natural and log varieties.
This type of function is asymptotically equal to a recurrence of F of N over 2 plus a constant. The complex form of this function for a given input can have infinite outputs separated by multiples of two pi. Its derivative is equal to one (*) over x and the sum of two of these on values x and y is equal to this function of the quantity x times y. Changing the base of this operation by dividing it by its value for the new base. For 10 points, name this type of function that is that returns the inverse of an exponential and comes in natural and log varieties.
This type of function is asymptotically equal to a recurrence of F of N over 2 plus a constant.
{logarithm} [or log; accept {natural logarithm} and {variants}]