Question

plz check
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. --->My Answer

The base of a logarithmic function can be zero.

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

Answer 1

Hmm why?

Answer 2

a thought that the log was always a inverse of a rational fraction

Answer 3

i*

Answer 4

i was between a and b

Answer 5

i knew it was c or d because they didnt sound true

Answer 6

was not*

Answer 7

The base of a logarithm cannot be a negative number, because
\[\large \log_ab=c~~~~~ \rightleftharpoons~~~~~b=a^c\]
So for example when base, is -2, log base -2 of what gives 16, its 4. Then, what about to what power can you raise -2 to get "-16"?
Also, you noticed that you can't graph
\[y=-2^x\]
But you can graph
\[y=2^x\]
If x is an even integer, y is positive
If x is an odd integer, y is negative

Answer 8

thanks