Question

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

Answer 1

C.) y=log1X is not a logarithmic function because the base is equal to 1. XD
Just took the test!!

Sorry I didn't see this earlier 

Answer 2

Answer:

Option 3 - $y=\log_{1}x$ 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

$y=\log_bx\Rightarrow b^y=x$ where, b>0 and b ≠ 1.

Now, The following statement

1) $y=\log_{10}x$ 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) $y=\log_{\sqrt3}x$ is not a logarithmic function because the base is a square root.

The statement is False as by definition, the base $\sqrt3$  is a positive number not equal to one.

3) $y=\log_{1}x$ 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)  $y=\log_{\frac{3}{4}}x$ 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.