# Properties of Logarithms There are several logarithms properties that help you solve logarithm equations. Here are some of them and their applications. Related Topics How to Solve Natural LogarithmsHow to Evaluate LogarithmHow to Solve Logarithmic Equations Necessary rules to solving Logarithm Equations Let’s review some logarithms properties: $$a^{log_{a}{⁡b }}=b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ log_{a⁡}{\frac{1}{x}}=- log_{a}⁡{x}$$$$log_{a}{⁡1}=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \... Read more ... Reza ## Logarithms Properties Do you want to know how to Properties of Logarithms? you can do it in two easy steps. Related Topics How to Solve Logarithmic EquationsHow to Solve Natural Logarithms ProblemsHow to Evaluate Logarithms 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... Reza