Question

The function f(x)=log₉(x) is the logarithm function with base:
a)9
b)3
c)x
d)e

Answer 1

The function f(x) = log_9(x) is a logarithm function with base 9. It represents the exponent to which 9 must be raised to obtain a given value x.

Step-by-step explanation:

The function f(x) = log9(x) is a logarithm function with base 9.

A logarithm function is the inverse of an exponential function. In this case, the base of the logarithm is 9, so the function f(x) returns the exponent to which 9 must be raised to obtain the value x.

For example, if we have f(x) = log9(81), it means that 9 raised to what power equals 81. Solving this equation, we find that f(x) = log9(81) = 2, since 92 = 81.