Which of the following is true about the base b of a logarithmic function? b 0 and b = 1 b 0 and [is not equal to]1 b

Question

Which of the following is true about the base b of a logarithmic function? b > 0 and b = 1 b > 0 and [is not equal to]1 b < 0 and b[is not equal to]1 b < 0 and b = 1

amistre64 · Answer

this is more of a course content solution ....

amistre64 · Answer

$$log_b(x)=\frac{log(x)}{log(b)}$$
so it all depends on what you are defining in terms of the specific course you are taking

amistre64 · Answer

in general, we dont like to divide by 0,  and log(1) = 0  so im sure those are out

anonymous · Answer

The course is Algebra 2, Graphing Logarithmic Functions. One of my worst subjects.

amistre64 · Answer

in general, if real solutions are required then we dont want to have log(-b)

amistre64 · Answer

so, whats that tell us?

anonymous · Answer

b > 0 and b = 1 - is out and so is, b < 0 and b [is not equal to] 1....

It makes me think b > 0 and b [is not equal to] 1...

amistre64 · Answer

good

b > 0 is desired, but when b=1 it goes bad

amistre64 · Answer

in higher math classes, the only base that matters is e, so this question is rather moot.

anonymous · Answer

Thank you very much for explaining it to me! :D @amistre64

amistre64 · Answer

yep, good luck :)