Page 54 - Radiation Safety
P. 54

LOGARITHM












                                                           Exponent                                               Logarithm



                                                                   x
                                                                a = y                                              log y = x
                                                                                                                         a



                                  Laws of logarithm                                               Change of base of logarithm
                                                                                                    Change of base of logarithm

                           • log m + log n = log mn                                                                                                            1
                                                                a
                                                  a
                                    a
                           • log m - log n = log m/n                                    •      log      b =     log    c  b       •      log      b =
                                                                a
                                                  a
                                    a
                           • log m = n log m                                                          a          log   c a                     a          log    b a
                                         n
                                                        a
                                    a

                                                                                                Tips

                                                                                           log a = 1
                                                                                                 a
                                                                                           log 1 = 0
                                                                                                 a
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