# Properties of Logarithms

## Logarithms Properties

Do you want to know how to Properties of Logarithms? you can do it in two easy steps. Properties of Logarithms Learn some logarithms properties: $$a^{\log_{a}{b}}=b$$$$\log_{a}{1}=0$$$$\log_{a}{a}=1$$$$\log_{a}{x.y}=\log_{a}{x}+\log_{a}{y}$$$$\log_{a}{\frac{x}{y}}=\log_{a}{x}-\log_{a}{y}$$$$\log_{a}{\frac{1}{x}}=-\log_{a}{x}$$$$\log_{a}{x^p}=p\log_{a}{x}$$$$\log_{x^k}{x}=\frac{1}{x}\log_{a}{x}, for k\neq0$$$$\log_{a}{x}=\log_{a^c}{x^c}$$$$\log_{a}{x}=\frac{1}{\log_{x}{a}}$$ Properties of Logarithms Logarithms Properties - Example 1: Expand this logarithm. \(log...