Logarithm Rules

$b^{{\log }_b(k)}=k$ ${\log }_b\left(b^k\right)=k$ ${\log }_b\left(b\right)=1$ ${\log }_b\left(1\right)=0$ ${\log }_b\left(M^k\right)=k\cdot {\log }_{b}M$ ${\log }_b\left(\frac{M}{N}\right)={\log }_{b}M-{\log }_{b}N$ ${\log }_b\left(M\cdot N\right)={\log }_{b}M+{\log }_{b}N$