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?

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Answer 1 · 2018-06-03T03:27:37

Never true.

#=>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.