There are following main logarithm formulas
- Logarithm product formula
\[log_a\left(xy\right)=log_a\left(x\right)+log_a\left(y\right)\]
2. Logarithm quotient formula
\[\log_a{\left(\frac{x}{y}\right)}\ =\log_a{\left(x\right)}\ -\ \log_a{\left(y\right)}\]
3. Logarithm power formula
\[\log_a{\left(x^y\right)}\ =\ y\ \bullet\log_a{x}\]
4. Logarithm base switch formula
\[\log_a{x}\ =\ \frac{1}{\log_x{a}}\]
5. Logarithm base change formula
\[\log_a{(x)}\ =\frac{\log_b{(x)}}{\log_b{(a)}}\]
6. Logarithm of 0 formula
\[ \log_a{(0)} = undefined\]
7. Logarithm of 1 formula
\[ \log_a{(1)} = 0\]