SOLUTION: 1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. D

Algebra ->  Graphs -> SOLUTION: 1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. D      Log On


   

Question 156278: 1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Example of an Exponential function: f%28x%29=3%5Ex

Now convert the Exponential function to a Logarithmic function using the property b%5Ex=y <====> log%28b%2C%28y%29%29=x:

g%28x%29=log%283%2C%28x%29%29


Now let's graph the exponential function f%28x%29=3%5Ex (red) and the logarithmic function g%28x%29=log%283%2C%28x%29%29 (green)


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex%2C+log%283%2C%28x%29%29%29+


Notice how the logarithmic function is simply a reflection of the exponential function over the line y=x