Page 24 - INDICES AND LOGARITHMS
P. 24

EQUATIONS INVOLVING


                                                   INDICES





            EXAMPLE 4:







                                               2           2    
                                                  +3
                       Given that 2                  − 4        = 0 . Find the
                       value of  x


                        Solutions :



                                     2            2    
                                        +3
                                 2          − 4        = 0


                                           2            2    
                                              +3
                                       2         = 4

                                           2             2 2    
                                              +3
                                       2         = 2

                                           2            4    
                                              +3
                                       2         = 2

                                         2
                                            + 3 = 4    


                                2
                                   − 4     + 3 = 0


                                                    − 1      − 3 = 0



                              − 1 = 0,      − 3 = 0



                              = 1             = 3

















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