Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
[tex]5^y=12[/tex]
Taking log with base five on both the sides.
[tex]log_{5}5^y=log_{5}12[/tex]
[tex]y=log_{5}12[/tex] [tex][\because log_aa^x=x][/tex]
This function can be written as
[tex]y=log_{5}x[/tex]
Where, x=12.
Substitute x=5 in the above function.
[tex]y=log_{5}5=1[/tex]
At x=5, the value of function is 1.
Only in option D, the value of function is 1 at x=5.
Therefore, the correct option is D.
