Question

The base of a logarithmic function is a negative real number.
never
sometimes
always

Answer 1

\[\log_{base} \].

Is there any case that you can think of where base would be a negative number?

Answer 2

nope

Answer 3

Agreed. If you draw the log function you'll see it looks like

There are no negative numbers in its domain.

Answer 4

The base of an exponential function is always a positive number different from one. The inverse of such a function is the log of that base. Since the exponential base is always positive, the log base is as well.