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:                                                                      




                                                             Try two practice problems:  





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


Solve for x: 102x+4= 1002x





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