Algebra 2 7-6 The Natural Base, e. Review Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential.

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Presentation transcript:

Algebra The Natural Base, e

Review

Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential function when b > 1 Decay Factor – b in the exponential function when b < 1

Logarithms

To solve equations with exponentials or with logs, use the following equations to transform the equations Or, use inverse functions as follows

Natural Logarithms

Common Logarithm properties apply to natural logarithms also

Examples

Natural Logarithms - Example

Natural Logarithms - Practice

Natural Logarithms Interest formulas

Examples

Logarithms

Examples

Natural Logarithms

Natural Logarithms - Example

Natural Logarithms - Practice

Natural Logarithms - Example

Natural Logarithms - Practice 1. 2.

Natural Logarithms - Example

Natural Logarithms - Practice

Natural Logarithm Equations

Natural Logarithm Inequality

Practice Problems

Practice Problems

Natural Logarithms

Homework Page – 21, 25, 27 – 29, even, 54, 56