Question

Last one for the night.
Which of the following is true?
-The base of a logarithmic function can be a
negative number.
-The range of the function f(x) = log5x is all real
numbers.
-The base of a logarithmic function can be zero.
- The domain of the function f(x) = log5x is all
real numbers less than zero.

Answer 1

I feel like none of these are true!

Answer 2

If you want to prove they are not true then give a counterexample!

Answer 3

The first one isnt true.
The third one isnt true
The 4th one isnt true

Answer 4

Well, when I graphed the 2nd one, the range was not all real numbers. Did I graph it wrong?

Answer 5

If you think that the range is not all the real numbers show that there is no possible value of x that can be negative

Answer 6

You can do this by a method called contridiction.

Say "assume that there is a value x that can be graphed to a negative value, but that doesnt make sense because....."

Answer 7

Hmm. Okay, I see! Thank you Walleye and Lagrange.