Answer:
Option (c) is true.
[tex]y=\log_1x[/tex] is not a logarithmic function because base is equal to 1.
Step-by-step explanation:
Given : Some statements.
We have to choose the correct statement from the given statement.
Statement (c) is true.
[tex]y=\log_1x[/tex] is not a logarithmic function because base is equal to 1.
Consider [tex]y=\log_1x[/tex]
Applying base- change formula , [tex]\log_ax=\frac{\log_bx}{\log_ba}[/tex]
we have,
[tex]\log_1x=\frac{\log_bx}{\log_b1}[/tex]
And we know [tex]\log_b1=0[/tex]
And denominator cannot be 0 otherwise fraction becomes not defined.
Thus, [tex]y=\log_1x[/tex] is not a logarithmic function because base is equal to 1.
