'Logarithmic expression' diaporamas de présentation

Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

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Logarithms

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Logarithms

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Properties of Logarithms

Properties of Logarithms. Change of Base Formula:. Graphing Logarithmic Functions. The inverse function of an Exponential functions is a log function. Domain: Range: Key Points: Asymptotes:. Section 4.5 Properties of Logarithms. Condense and Expand Logarithmic Expressions.

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Properties of Logarithms

Properties of Logarithms. 1. Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. (similar to p.445 #6).

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Section 4.5

Section 4.5. Solving Exponential and Logarithmic Equations. Solving Exponential Equations. Equations with variables in the exponents, such as 3 x = 40 and 5 3 x = 25, are called exponential equations. Base-Exponent Property For any a > 0, a ? 1, ax = ay ? x = y . Example.

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4.6 Apply Properties of Logarithms

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3.4 Properties of Logarithmic Functions

3.4 Properties of Logarithmic Functions. Properties of Logarithms Let b, R, and S be positive real numbers with b ? 1, and c any real number. Product Rule: Quotient Rule: Power Rule:. Expanding the Logarithm of a Product.

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Quiz 4.4 Logarithmic Functions

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3.3 Properties of Logarithms

3.3 Properties of Logarithms. Students will rewrite logarithms with different bases. Students will use properties of logarithms to evaluate or rewrite logarithmic expressions. Students will use properties of logarithms to expand or condense logarithmic expressions.

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Laws (Properties) of Logarithms

Laws (Properties) of Logarithms. Section 3.3. Objectives. Rewrite (expand) a logarithm to contain no logarithms of products, quotients, or powers. Rewrite (condense) a logarithmic expression into the logarithm of a single value.

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3.4

3.4. Properties of Logarithmic Functions. Properties of Logarithms. Example Proving the Product Rule for Logarithms. Example Expanding the Logarithm of a Product. Example Expanding the Logarithm of a Product. Example Condensing a Logarithmic Expression.

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Properties of Logarithms

Properties of Logarithms. Objectives: Work with the Properties of Logarithms Write a Logarithmic Expression as a Sum or Difference of Logs Write a Logarithmic Expression as a Single Log Evaluate Logarithms whose Base is neither 10 nor e. The Product Rule: The Quotient Rule:

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Properties of Logarithms

Properties of Logarithms. Objectives: Work with the Properties of Logarithms Write a Logarithmic Expression as a Sum or Difference of Logs Write a Logarithmic Expression as a Single Log Evaluate Logarithms whose Base is neither 10 nor e. The Product Rule: The Quotient Rule:

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4.4 Exponential and Logarithmic Equations

4.4 Exponential and Logarithmic Equations. An exponential equation is an equation containing a variable in an exponent. A logarithmic equation is an equation containing a variable in a logarithmic expression. Examples of Exponential Equations. Examples of Logarithmic Equations.

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Logarithmic function - definition

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