High statement is true? y=log10^x is not a logarithmic function because the base is greater than 0

Option 3 -  is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

To find : Which statement is true?

Solution :

As the function defined in all statement is logarithmic function.

So, The definition of logarithmic function is defined as

where, b>0 and b ≠ 1.

Now, The following statement

1)  is not a logarithmic function because the base is greater than 0.

The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.

2)  is not a logarithmic function because the base is a square root.

The statement is False as by definition, the base  is a positive number not equal to one.

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

The statement is True as by definition log cannot have a base of one.

4)   is not a logarithmic function because the base is a fraction.

The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.

Therefore, Option 3 is true.

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