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Property of Inequality for Logarithmic Equations

Rule

Property of Inequality for Logarithmic Equations

The Property of Inequality for Logarithmic Equations states that if two common logarithms form an inequality, the inequality also holds true for the logarithms' arguments.

This identity is true if and are positive real numbers. The same relation holds true for any logarithm with a base greater than However, if the base, of the logarithm is less than the opposite is true.