0\; ,\; N>0\; .\\\\\\log_{a^{a}}\, M^{a}=\frac{1}{a}\cdot a\cdot log_{a}\, M=log_{a}\, M\;\; ;\; \; M>0\; ,\; a\in R\; (a\ne 0)." alt="log_{a}\, \frac{M}{N}=log_{a}M-log_{a}N\; ;\; \; M>0\; ,\; N>0\; .\\\\\\log_{a^{a}}\, M^{a}=\frac{1}{a}\cdot a\cdot log_{a}\, M=log_{a}\, M\;\; ;\; \; M>0\; ,\; a\in R\; (a\ne 0)." align="absmiddle" class="latex-formula">