Example 2
- Author:
- Walch Education
Derive the exponential function on which the logarithmic function is based.
- Switch the domain and function variables to write the logarithmic function as an exponential function.
- Use the rules of logarithms to rewrite the result so that the simplest expression possible can be found for the logarithmic function before it is converted to exponential form.
- Solve for the logarithmic term and rewrite the logarithmic function as an exponential function.
- Write the exponential function from the simplified logarithmic function by using the definition of an exponential function and its inverse.