Question

Which statement is true?

Answer 1

D...................................................

Answer 2

Option (c) is true.

`y=\log_1x` is not a logarithmic function because base is equal to 1.

Explanation:

Given : Some statements.

We have to choose the correct statement from the given statement.

Statement (c) is true.

`y=\log_1x` is not a logarithmic function because base is equal to 1.

Consider
`y=\log_1x`

Applying base- change formula ,
`\log_ax=(\log_bx)/(\log_ba)`

we have,

`\log_1x=(\log_bx)/(\log_b1)`

And we know
`\log_b1=0`

And denominator cannot be 0 otherwise fraction becomes not defined.

Thus,
`y=\log_1x` is not a logarithmic function because base is equal to 1.