Question

Which statement is true?

y = log Subscript 10 Baseline x is not a logarithmic function because the base is greater than 0.
y = log Subscript StartRoot 3 EndRoot Baseline x is not a logarithmic function because the base is a square root.
y = log Subscript 1 Baseline x is not a logarithmic function because the base is equal to 1.
y = log Subscript three-fourths Baseline x is not a logarithmic function because the base is a fraction.

Answer 1

it is c in edge

Explanation:

i jus took the test

Answer 2

`y=log_(1) x` is not a logarithmic function because the base is equal to 1.

Explanation:

A logarithmic function is of the form:
`y=log_(b)x`

For a logarithmic function to exist, we must fulfill certain conditions. The conditions are

i. The base,
`b`, is greater than 0.
`{b>0)`

ii. The base,
`b`, is not equal to 1.
`(b\\e 1)`

iii.
`x` must be greater than 0.
`(x>0)`

Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:

`y=log_(1) x` is not a logarithmic function because the base is equal to 1.