Respuesta :
I think the answer is C, y= log 25^x. Logarithmic functions are inverses of exponential functions. the inverse of exponential function y =a ^x is x = a^y. The logarithmic function y = logaX, is defined to be equivalent to the exponential equation x= a^y.
Answer:
The correct option is C .
Step-by-step explanation:
A logarithm function is written in the form of [tex]y=log_ax[/tex],
Since, y = 0.25x is the type of function y = mx + c,
Which is the general form of a linear function,
⇒ y = 0.25x is not a logarithm function,
[tex]y=x^{0.25}[/tex] is the type of function [tex]y=kx^a[/tex], where k and a are any real number,
Which is the general form of a power function,
⇒ [tex]y=x^{0.25}[/tex] is not a logarithmic function.
[tex]y=(0.25)^x[/tex] is the type of function [tex]y=ab^x[/tex]
Which is the general form of exponential function,
⇒ [tex]y=(0.25)^x[/tex] is not a logarithmic function,
Hence, only the function in option C has written in the form of [tex]y=log_ax[/tex].
Option C is correct.
