Is the range of F(x) = log(base b)x the set of all positive real numbers?

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Is the range of F(x) = log(base b)x the set of all positive real numbers?

2007-04-13 12:40:40 · 4 answers · asked by Random G 3 in Science & Mathematics ➔ Mathematics

4 answers

No, it can include negatives as well. For example, log (base 10) of 1/10 is -1. The DOMAIN, however is all positive real numbers as you can't take the log of 0 or a negative.

2007-04-13 12:45:59 · answer #1 · answered by hayharbr 7 · 2⤊ 0⤋

no...x cannot be zero no matter what log base you take. think of it like exponents....

F(x)= log(base b)x = c

is the same as asking

b^c=x

thus, no matter what b and c are, nothing to a power can equal zero.

2007-04-13 12:48:21 · answer #2 · answered by elucidiamia 2 · 0⤊ 1⤋

No, range is all real. Domain is all positive.

2007-04-13 12:46:42 · answer #3 · answered by Philo 7 · 2⤊ 0⤋

Yes.

HTH

Charles

2007-04-13 12:45:23 · answer #4 · answered by Charles 6 · 0⤊ 1⤋