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Mandarinka [93]
3 years ago
14

Which of the following is a logarithmic function? A. Y=0.25X B. Y=x^0.25 c.y=log25^x d.y=(0.25)^x

Mathematics
2 answers:
xxMikexx [17]3 years ago
5 0

Answer:

The correct option is C .

Step-by-step explanation:

A logarithm function is written in the form of  y=log_ax,

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,

y=x^{0.25} is the type of function y=kx^a, where k and a are any real number,

Which is the general form of a power function,

⇒ y=x^{0.25} is not a logarithmic function.

y=(0.25)^x is the type of function y=ab^x

Which is the general form of exponential function,

⇒ y=(0.25)^x is not a logarithmic function,

Hence, only the function in option C has written in the form of y=log_ax.

Option C is correct.

LenKa [72]3 years ago
3 0
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.
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