Question

Which statement is true?

is not a logarithmic function because the base is greater than 0.
is not a logarithmic function because the base is a square root.
is not a logarithmic function because the base is equal to 1.
is not a logarithmic function because the base is a fraction.

Answer 1

3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0

Answer 2

Answer with explanation:

Consider a Logarithmic Function

`y=\log_(a) b\\\\y=(\log b)/(\log a)\\\\ \text{if, a=1,then}\\\\y=(\log b)/(\log 1)\\\\y=(\log b)/(0)`

which is not defined.

Also,⇒ a∈(0,∞)≠1.

b> 0, that is, b∈(0,∞)

Option C:

is not a logarithmic function because the base is equal to 1.