Which of the following is true?

The base of a logarithmic function can be a negative number.

A logarithmic function is the inverse of a rational function.

The domain of the logarithmic function f(x) = log5x is all positive real numbers.

The base of a logarithmic function can be zero.

Question

Which of the following is true?

The base of a logarithmic function can be a negative number.

A logarithmic function is the inverse of a rational function.

The domain of the logarithmic function f(x) = log5x is all positive real numbers.

The base of a logarithmic function can be zero.

anonymous · Answer

first one

anonymous · Answer

First one

jim_thompson5910 · Answer

The base of a logarithmic function can be a negative number.   False


A logarithmic function is the inverse of a rational function.  False


The domain of the logarithmic function f(x) = log5x is all positive real numbers.  True


The base of a logarithmic function can be zero.  False

jim_thompson5910 · Answer

It's not the first since you can't take the log of a negative number

anonymous · Answer

none

anonymous · Answer

yeah , but this asking for base of log

jim_thompson5910 · Answer

use the change of base formula and you'll see it

anonymous · Answer

Base has to be positive...

anonymous · Answer

$$\log_{-2}x=b$$
$$(-2)^b=x$$

anonymous · Answer

"The logarithm is denoted "logb(y)" (pronounced as "the logarithm of y to base b" or "the "base-b logarithm of y"). In the equation logb(y) = x, the value x, is the answer to the question "To what power must b be raised, in order to yield y?". For the logarithm to be defined, the base b must be a positive real number not equal to 1 and y must be a positive number." -Wikipedia

jim_thompson5910 · Answer

$$\log_{-2}(x)=\frac{\log(x)}{\log(-2)}$$

anonymous · Answer

oh, I see,you are right

anonymous · Answer

The domain of the logarithmic function f(x) = log5x is also false because there isnt such a thing as log (0) !!!

jim_thompson5910 · Answer

The domain of the logarithmic function f(x) = log5x is all POSITIVE real numbers is true

anonymous · Answer

It's the third one....

anonymous · Answer

a positive number is >= to 0

jim_thompson5910 · Answer

no, 0 is not a positive number nor is it negative

anonymous · Answer

a strictly positive number > 0

anonymous · Answer

That's silly. It has nothing to do with the change of base formula. It has to do with the fact that (-2)^x is not a one to one function and doesn't have an inverse.

anonymous · Answer

Or any negative base for that matter.

jim_thompson5910 · Answer

well he was pointing out an example of a log with a negative base, which can be shown is not possible using the change of base formula

shamil98 · Answer

Yeah, its da third one.