1.  log_ABC = log_AB + log_AC

                                        log₂6 = log₂3 + log₂2  since 2 ´ 3 = 6

2.  log_A(B/C) = log_AB – log_AC

                                        log₃(3) = log₃6 – log₃2 since 6/2 = 3

3.  log_A(B)^D = D ´ log_A(B)

                                   log₄16 = log₄4² =  2 ´ log₄(4) since 16 = 4²

4.  log_{some number} (same number) = 1

                                                          log₅₇57 = 1