Which of the following is true?

The base of a logarithmic function cannot be a negative number.

A logarithmic function is the inverse of a rational function.

The base of a logarithmic function can be zero.

The range of the function f(x) = log5x is all real numbers less than zero.

Question

Which of the following is true?

 The base of a logarithmic function cannot be a negative number.

 A logarithmic function is the inverse of a rational function.

 The base of a logarithmic function can be zero.

 The range of the function f(x) = log5x is all real numbers less than zero.

anonymous · Answer

sorry i dont know but this mite help :) http://www.wolframalpha.com

anonymous · Answer

its okay..

jim_thompson5910 · Answer

any ideas? If you're not sure, then do you have any ideas of which ones are false?

anonymous · Answer

is the second one false?

jim_thompson5910 · Answer

it is, logs aren't inverses of rational functions...they are inverses of exponential functions

jim_thompson5910 · Answer

rational functions are inverses of rational functions

anonymous · Answer

and is the 3rd one false too?

jim_thompson5910 · Answer

you are correct, the base can't be 0

anonymous · Answer

now im stuck between 1 & 4

jim_thompson5910 · Answer

which one can you rule out

anonymous · Answer

I dont know. Im stuck now. I dont really understand ranges so I dont know anything about number 4

hawkfalcon · Answer

http://www.wolframalpha.com/input/?i=range+f%28x%29+%3D+log5x+

jim_thompson5910 · Answer

the range is the set of all possible outputs of the function

anonymous · Answer

so 4 is false then right? cause it doesnt have to be less than 0.

jim_thompson5910 · Answer

that is correct, the range is actually the set of all real numbers

anonymous · Answer

so then 1 is true! thanks so much!

jim_thompson5910 · Answer

yw

jim_thompson5910 · Answer

it turns out that the base has to be a positive number, so that further confirms #1 is true