3.4 Solving Exponential and Logarithmic Equations

3.4 Solving Exponential and Logarithmic Equations

Exponential or logarithmic functions can be solve by the One-to-One Properties or the Key to Everything.

One-to-One Properties

 if and only if 

 if and only if  

The Key to Everything

Examples:

                        One-to-One

  

                                      

                                                   The Key to Everything

                                           

     

        

                   

 Imaginary

 Continuous Compound Interest

A = balance

P = principle

r = annual interest rate in decimal

t = time over years

Examples:
                              If P = 10000, r = 0.0225, and let money to be triple. t = ?