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Logarithmic Functions

- Section 3.2

Objectives

- Rewrite an exponential equation in logarithmic

form. - Rewrite a logarithmic equation in exponential

form. - Evaluate a simple logarithmic expression.
- Find a missing piece of a logarithmic equation

given all the other pieces. - Find the equation of a logarithmic function given

a point. - Graph a logarithmic function.
- Determine the transformation of a logarithmic

function. - State the domain and range of a logarithmic

function.

Vocabulary

- logarithmic function
- base of a logarithmic function
- logarithmic form
- exponential form
- common logarithm
- natural logarithm

Find the inverse of the function f

Formula

- basic logarithmic function

where a gt 0 and a ? 1

Express each equation in logarithmic form.

Express each equation in exponential form.

Graph the function

What it the domain of the function? What is the

range of the function? What is(are) the

x-intercepts? What is(are) the y-intercepts?

- Evaluate the following

- Evaluate the following

- Solve for x.

Find the domain and range of

Properties of Logarithms

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