SOLUTION: How is the logarithmic function f(x) = log5(x) related to the exponential function g(x) = 5x? The logarithm function is the inverse of the exponential function. What is the res

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How is the logarithmic function f(x) = log5(x) related to the exponential function g(x) = 5x? The logarithm function is the inverse of the exponential function. What is the res      Log On


   

Question 1138535: How is the logarithmic function f(x) = log5(x) related to the exponential function g(x) = 5x?
The logarithm function is the inverse of the exponential function.
What is the result of composing these two functions and fully simplifying the result?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Written better,

system%28f%28x%29=log%285%2Cx%29%2C+and%2C+g%28x%29=5%5Ex%29

These are inverses because f%28g%28x%29%29=g%28f%28x%29%29=x.