Page 47 - More Higher algebra
P. 47

Confirm the result by replacing x by 11 in the original

        expression,
                                 1  6−11
                               ( )        − 32 = 0
                                 2


        2. Find the value of x in the expression,

                                                  2
                                             1     −1
                                        
                                √16 = ( )
                                             2


        This is the same as,

                                                 2
                                            1     −1
                                 16 2 = ( )
                                            2


                                                     2
                                                1      −1
                           ln (16 2) = ln [( )            ]
                                                2



                                                         1
                                            2
                            ln(16) = (   − 1)ln [ ]
                          2                              2

                                                          2
                                      ln(0.5)          (   − 1)
                             2
                       = (   − 1)               = −
                    2                 ln(16)               4

                                             2
                                2   = −(   − 1)
                                          43
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