Logarithms and Antilogarithms

 

 

Scales of Measurement

 

            Nominal

 

                        Male/Female; Wet/Dry

 

 

           

            Ordinal

 

                        A > B > C > D

 

 

 

            Interval

 

                        1 > 2 > 3 > 4

 

 

 

            Ratio

 

                        2 > 4 > 8 > 16

 

 

                        10 > 100 > 1000 > 10000

 

 

 

 

Logs and Antilogs

 

 

            2 > 4 > 8 > 16   ==========è 21 > 22 > 23 > 24

 

 

            10 > 100 > 1000 > 10000   ==========è 101 > 102 > 103 > 104

 

 

 

 

                                    22 = 4   =========è  log2 16 = 4

 

23 = 8 ========è log2 8 = 3

 

                                    102 = 100 =======è log10 100 = 2

 

105 = 100000 ========è log10 100000 = 5

 

 

 

 

                                    23 = antilog2 3 = 2 X 2 X 2 = 8

 

 

                                    104 = antilog10 4 = 10 X 10 X 10 X 10 = 10000

 

 

 

In general:

 

            Xn = antilogx n

 

 

                                                X? = number   ======è logx (number)