3-2 Logarithmic Functions

​3-2 Logarithmic Functions

Complete the following Lesson in order to

1. Evaluate logarithmic expressions.

2. Sketch and analyze graphs of logarithmic functions.

Subject | Subject

Glencoe Pre-Calc Textbook pages 172 - 180

The exponential function passes the horizontal line test so it is one to one which means it has an inverse that is a function also.

​Some text here about the topic of discussion.

​Exponential Function

The logarithmic function is the inverse function of the exponential function.

page172

​Logarithmic Function

Page 172

​How to evaluate logarithms

​To evaluate each logarithm:

1.) Set the logarithm = y

2.) Write in exponential form.

3.) Rewrite so the bases are the same.

4.) Solve

Multiple Choice

Evaluate

$$\log_8512$$

• 3

• 4

• 2

• 1

Multiple Choice

$$\log_44^{3.2}$$

• 1

• 2

• 3.2

• none of these

Multiple Choice

$$\log_2\frac{1}{32}$$

• 8

• -5

• 5

• $$\frac{1}{5}$$

Multiple Choice

Evaluate $$10^{\log\ 5}$$

• Undefined

• 10,000

• 5

• 10

Multiple Choice

Evaluate $$\log\left(-5\right)$$

• Undefined

• 10,000

• 5

• 10

Multiple Choice

Evaluate $$\ln\ e^{0.73}$$

• e

• 1

• 0.73

• undefined

Multiple Choice

ln 4 - Use your calculator

• 1.39

• 1.42

• e

• 1.728

​The next slides have links to videos about graphing logarithms.