Log Laws \[ Log_a(mn) = log_a(m) + log_a(n) \] \[ Log_a(m^p) = pLog_a(m) \] \[ Log_a({m \over n}) = log_a(m) - log_a(n) \] \[ Log_a(a) = 1 \] \[ Log_a(1) = 0 \] \[ Log_a({1\over n}) = -Log_a(n) \]