If Joe wanted to create a function that modeled an exponential function with base of 8 and what exponents were needed to reach specific values, how would he set up his function?

f(x) = x^8

f(x) = log8 x

f(x) = logx 8

f(x) = 8^x

8^x

The correct function that Joe should set up is:

f(x) = 8^x

To model an exponential function with a base of 8 and determine the exponents needed to reach specific values, Joe would set up his function as f(x) = 8^x.

In this function, the variable x represents the exponent that Joe wants to find, and the base of 8 remains constant. By plugging in different values for x, Joe can calculate the corresponding values of f(x) and understand what exponent is needed to reach those specific values.

For example, if Joe wants to find the value of f(x) when x = 2, he would simply substitute x = 2 into the function: f(2) = 8^2 = 64. This means that to achieve a value of 64, Joe would need to raise 8 to the power of 2.

Similarly, Joe can find the exponent needed to reach other specific values by substituting different values of x into the function and evaluating it.

F(x)=x^8