Exponential Expressions And Equations

                    Lesson 1

                                                                                                                                                                          

                                                             Problem:                   Solve for x: 42x-2 = 43x+12

                                                             Solution                    This can be solved using the property:

                           Step 1:                       If bx = by, then x = y, (where b=0 and b ≠ 0)                     

                                                                                 Solution                          Since the bases are the same set the exponents equal to one another:

                                                            Step 2:                                   2x-2 = 3x+12 

                                                             Solution                          3x-2x = -2-12

                                                             Step 3:

 

                                                             Solution                          x = -14

                                                             Step 4:

 

                                                            Solution                    The answer is:  x = -14

 Step 5:                                                                      

 Complete                                                                   

                                                                                  

                                             

                                                             Try two practice problems:  

 

                                                                                               Solve:

 

A.

Solve for x: 304x-8 = 306x+12

B.

Solve for x: 102x+4= 1002x

 

 

                                                                                               

        

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