3.4 Solving Exponential and Logarithmic Equations

 By Mitch Boorstein
One-to-One Property


  if and only if x=y

        
 if and only if x=y


a>0
a does not equal 1

Example






x=5

Inverse Property 







Examples




x=6

OR











One to One Property in words:

If the bases of an exponential function are the same, then the equation above is true if x and y are the same.

Inverse Property in words:

You can raise both sides of a logarithmic equation to a certain power in order to cancel out the logs and solve the equation


Still Confused?
Here are some more examples
http://www.youtube.com/watch?v=tQfP3Twqeb4
http://www.youtube.com/watch?v=SuNKNnwH2-Q