Good Morning, Precalculus!When you come in, please....1. Grab your DO NOW sheet at the front of the room.2. Take out your notes where you have written down the definitions that were for last night's HW (logarithmic functions).3. Start your DO NOW!

Do Now:In Honolulu County, Hawaii, the population was 876,156 in 2000. The average yearly rate of growth is 0.74%. Find the projected population of Honolulu County in 2015.

Do NowIn Honolulu County, Hawaii, the population was 876,156 in 2000. The average yearly rate of growth is 0.74%. Find the projected population of Honolulu County in 2015.

Upcoming HW Assignments

For tomorrow: Pg. 708, #8 and #9.

Today's Agenda:

1. Do Now2. Unit 4, Obj. 1 Exit Slip3. Today's NEW Objective4. Unit 4, Obj. 2: Logarithmic Functions5. Clickers6. Closing7. Unit 3 Test Results

Unit 4, Obj. 1Exit Slip

Exit SlipObjective: Unit 4, Obj. 1

The average growth rate of the population of a city is 7.5% per year. If the city's population is now 22,750 people, what do you expect the population to be in 10 years?

You don't need to write the question, but show all work!Not trying it out is not acceptable!

Today's ObjectiveUnit 4, Objective 2: I will be able to write

logarithmic expressions in exponential form and vice versa.

Unit 4, Obj. 2: Logarithmic Functions

Logarithmic FunctionsBased on your reading last night, define logarithmic function.

A logarithmic function is ____________________________________________.

What else do we know about logarithmic functions and how to write them (from pg. 719)?________________________________________________________________________________________________________________________________________________________________________________________________.

Logarithmic FunctionsWhere do logarithmic functions come from?

If we take the inverse of an exponential function, y = bx, we end up with x = by.

Logarithmic FunctionsIf we take the inverse of an exponential function, y = bx, we end up with x = by.

Thi sis then written as y = logax and is read as "y equals the log, base a, of x."

Logarithmic FunctionsIn short,

Logarithmic FunctionsEx. 1: Write the equation in exponential form.

a. log12525 = 2 b. Log82 = 13 3

Base: ______Exponent: _____Exp. Form: ________

Base: ______Exponent: _____Exp. Form: ________

Logarithmic FunctionsEx. 2: The eqn's below are written in exponential form. Rewrite them in logarithmic form.

a. 25 = 52 b. 729 = 36

Logarithmic FunctionsEx. 3: The eqn's below are written in logarithmic form. Rewrite in exponential form.

a. Log101 = 0 b. Log464 = 3

Logarithmic FunctionsEx. 3: The eqn's below are written in logarithmic form. Rewrite in exponential form.

a. Log101 = 0 b. Log464 = 3

Logarithmic FunctionsEx. 4: Evaluate each logarithm.

a. Log864 b. Log232

c. Log381 d. Log216

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Precalc Unit 4, Obj. 2

Grade: 12Subject: Mathematics

Date: 11/20/12

1

ABCD

2

ABCD

3

4

5

ABCD

Closing

ClosingUnit 4, Obj. 2: I will be able to write logarithmic expressions in exponential form and vice versa.Did we accomplish today’s objective? What did we learn about writing logarithmic expressions in exponential form and vice versa?

Unit 3 Test ResultsAverage: 65.8%