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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:
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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 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.
Upcoming HW Assignments For tomorrow: Pg. 708, #8 and #9.
Today's Agenda: 1. Do Now 2. Unit 4, Obj. 1 Exit Slip 3. Today's NEW Objective 4. Unit 4, Obj. 2: Logarithmic Functions 5. Clickers 6. Closing 7. Unit 3 Test Results
Unit 4, Obj. 1 Exit Slip
Exit Slip Objective: 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 Objective Unit 4, Objective 2: I will be able to write logarithmic expressions in exponential form and vice versa.
Unit 4, Obj. 2: Logarithmic Functions
Logarithmic Functions Based 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 Functions Where do logarithmic functions come from? If we take the inverse of an exponential function, y = bx, we end up with x = by.
Logarithmic Functions If 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 Functions In short,
Logarithmic Functions Ex. 1: Write the equation in exponential form. b. Log82 = 1 a. log12525 = 2 3 3 Base: ______ Exponent: _____ Exp. Form: ________ Base: ______ Exponent: _____ Exp. Form: ________
Logarithmic Functions Ex. 2: The eqn's below are written in exponential form. Rewrite them in logarithmic form. b. 729 = 36 a. 25 = 52
Logarithmic Functions Ex. 3: The eqn's below are written in logarithmic form. Rewrite in exponential form. b. Log464 = 3 a. Log101 = 0
Logarithmic Functions Ex. 3: The eqn's below are written in logarithmic form. Rewrite in exponential form. b. Log464 = 3 a. Log101 = 0
Logarithmic Functions Ex. 4: Evaluate each logarithm. a. Log864 b. Log232 c. Log381 d. Log216
Turn on your SMART response clicker. Find classes Join 233!
Precalc Unit 4, Obj. 2 Grade: 12 Mathematics Subject: 11/20/12 Date:
1 A B C D
2 A B C D
5 A B C D
Closing Unit 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 Results Average: 65.8%