Exponential and Logarithmic Functions and Applications

Unit 9

Rational ExponentsUnit 9: Exponential and Logarithmic Functions and Applications

Rational Exponents

7th Period2nd Period

Rational Exponents

7th Period2nd Period

Rational Exponents

2nd Period 7th Period

Exponential FunctionsUnit 9: Exponential and Logarithmic Functions and Applications

Exponential Functions

Exponential Functions2nd Period 7th Period

Exponential Functions2nd Period 7th Period

Logarithmic FunctionsUnit 9: Exponential and Logarithmic Functions and Applications

Logarithmic Functions

Logarithms on a Calculator

Logarithmic Functions

Logarithmic Functions

Examples

Examples

Examples

Other Functions and RulesUnit 9: Exponential and Logarithmic Functions and Applications

Percent Growth and Decay

Periodic Interest

e and ln(x)The number e is an important mathematical

constant, approximately equal to 2.718281828.

Like the constant π, e is irrational: it is not a ratio of integers.

Sometimes called Euler's number after the Swiss mathematician Leonhard Euler.

e is the base of the natural logarithm, and are inverse functions.

Rules for Exponents and Logarithms

Exponential Growth and Decay