Question

Which of the following statements is true?
Choose one answer.
a. An exponential function is never the inverse of a logarithmic function.
b. The base of the logarithmic function f(x) = log5x is unknown.
c. The range of the logarithmic function f(x) = log5x is all real numbers.
d. The domain of the logarithmic function f(x) = log5x is all real numbers.

Answer 1

Since the inverse of \[f(x)=\log_5(x)\] is \[g(x)=5^x\], and the domain of g(x) is all real numbers, this means that the range of f(x) is all real numbers.


So the answer is choice C.

Answer 2

C.

Answer 3

c is the correct one