Question

Consider y=logb(x) in which b, x, and y are real numbers. Zero can be in the domain; is it sometimes, always, or never true?

Answer 1

Never true.

Explanation:

`=>y = log_b(x)`

This implies:

`=>b^y = x`

If zero is in the domain, then the following would have to hold for some `b` and `y`

`=>b^y = 0`

Since this is impossible, the statement is never true.