Welcome Back from Winter Break Part 2 Please

Welcome Back from Winter Break Part 2!!!! Please do the following: • Take out HW #4 and stamp sheet • Start warm-up! Update: Saturday School 1/ 21 9 am- 1 pm HW #5: Log maze on HW #5 and page 321 #63 -70, 77, 87 -90, 92, 93

Welcome Back from Winter Break Part 2!!! How was your snowpocalypse vacation?

Agenda 1. Log Functions 2. Log War

Office Hours- this Week! Every day at lunch! Wednesday/ Thursday after school 3: 30 -5: 30 Saturday School!

Roller-coaster Project- No Names?

Review HW #4

Take out Composition Notebook Open notes to: 4. 4: Logarithmic Functions

Special Properties of Logs of base b Logs of 1

Special Properties of Logs .

Common Logs Common Logarithm • Log with base 10 • If no base is written for a logarithm, the base is assumed to be 10 • EX: log 5 = log 105.

Natural Logs Natural Logarithm • A logarithm with a base of e, but instead of writing loge we abbreviate as ln. • Is expressed as the function y = ln x. This is the inverse for y = ex. • Since they are inverses, ln e =

Examples Example: Evaluate the expression log 7(1/49). **Hint** Try setting log 7(1/49) = x

Example 3

Logarithm War Who has played the card game War? This is a two player game, so you will be partners with someone at your table. Every group will receive a deck of logarithm expressions. You will randomly split up the deck amongst both of you (each person should have 15). You can shuffle your cards in the beginning if you like, but once the game begins you must always take the first card in your deck and play it. The player with the highest evaluated expression takes all the cards played. If it is a tie, then you must deal W-A-R( 3 cards) and the 4 th card will be the determining factor of who gets that pile.

Logarithm War For example: MS. HULS’ card: log 3 (1/3) MS. STANDFIELD’S card: log 4 (16) Who would win?

Learning Objectives By the end of the period you will be able to: ① Evaluate expressions involving logarithms ② Write, evaluate, and graph logarithmic functions and inequalities. ③ Use properties to simplify logarithmic expressions

Example 4 on Packet

4. 4: Logs Finding domain of logs: • Set what is in the ( ) > 0 EX)

Example 5 on Packet

4. 4: Logs Graphing Log Functions: ① Create exponential table ( use base) ② Create log table ③ Create transformation table EX)

Example 6

Earthquake! You can use this website to track earthquakes world-wide. http: //earthquake. usgs. gov/earthquakes/map/ 40 Seconds that Shook L. A. At 4: 31 Monday morning an earthquake registering 6. 6 on the Richter scale jolted residents of Los Angeles from their sleep. It was not The Big One, but it left at least 55 people dead, brought down major freeways and destroyed or damaged thousands of homes. Source: Chicago Tribune Newspaper 1994

Earthquake!

Earthquake!