Precalculus » C. Exponential and Logarithmic Functions » C.3. Properties of Logarithms

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Change of Base Formula

• Overview
• Rewrite the logarithm as a ratio of common logarithms
• Rewrite the logarithm as a ratio of natural logarithms
• Evaluate the logarithm using the change of base formula

Properties of Logarithms

• Overview
• Use the Product Property to simplify the expression
• Use the Quotient Property to simplify the expression
• Use the Power Property to simplify the expression
• Use the properties of logarithms to rewrite and simplify the algebraic expression
• Find the exact value of the logarithmic expression without using the calculator
• Expanding Logarithmic Expressions
• Condensing Logarithmic Expressions