Log Test Review - Graphing Problems

Transcription

1 Algebra Honors - Mr. Allen-Black d^0id7i wkpuftza SSqoffLtrw`aerZef CLOLACq.m H LAwlrl` _raidgqhvtssb reisaenrdvqekdr. Log Test Review - Graphing Problems ) = 3 Name ID: ) = ( Date Period = 3 ) = ) = ) = o RF0qQ7z ^KIuFtlaY `SYolfYtSw\aGrSeb llzlico.v k DAElCle CrwiSgKhwtFsJ Sr_edsXersvAeNdU.L ^ ^MJaAdpeb ^wfi]tlht TIinQfAi[nTiHtZep aatlvgeekbprqak lw. -- Worksheet b Kuta Software LLC

2 7) = log ) = log ( + 5) ) = log 3 ( + ) 0) = log ( D ak0bk7q HKsuitLad zsaoefatpwea`rhed LvLUCb.W u FAAlcl greiqg`hitjsd OrMe`sSeQrzvped].v p ompakduew `wei\trhd di]n^foitnriytye` [AillgCeMbRr\aO _. -- Worksheet b Kuta Software LLC

3 NAME DATE PD ALGEBRA II HONORS Chapter 7 Review Graph each function. State the domain and range of each function. ) 3 ) 3 3 ) 3 5) 3 5 ) 3 7) log ) log ( 5) 3 9) log 3( ) 0) log ( Write each logarithm in eponential form. ) log 3 )log00 ln ) log Write each eponential function in logarithmic form. 5) 0 ) 0 e 7) 3 ) 3 Evaluate each epression. 9) log 0) log ) log ) log0 log3 9 ) log 5) log9 ) ln(e 0 ) 7) log 5 ) ln (e) 9) ln 30) log3 5 log log log log3

4 Epand each logarithm. 3 3 log z ln 3 z 35) log 3 ab c log z 5 Condense each epression into a single logarithm. 37) ln ln ln log log log z 39) log( ) log( ) 0) log7 log 7( Solve each equation. ) ) 9 7 ) 7 ) 3 log ) log( ) 5) log 3( ) ) log () log ( 7) log ( log ( ) ) log5 log 7 7 9) log(7 ) log( ) 50) log log ( ) 3 #5- requires the use of a calculator. Round all answers to the nearest thousandths. Solve each equation. 5) 0 5) ) 3 55) e 0 5) e 5 57) ln( ) 5) ln( ** Include the Using Logarithms to Solve Eponential Problems word problem WS as the final portion of this review.

5 Name: Date: Pd.: Algebra II Mr. Allen-Black Using Logs to solve eponential equations. ) Frozen Hdrelium Ice cubes deca at a rate of % per minute. If I have ounces of ice cubes in m Pepsi, a) Write an equation epressing how much ice is left after n hours. b) How man ounces of ice cubes will be left after hour? c) How long will it take to have ounce of ice left? ) In the movie, Back To The Future, Doc Brown needed to get Plutonium from the Libans in order to power his DeLorean. When Doc Brown put the 0 grams of Plutonium into the car, he didn t realize that it would deca at a rate of 35% an hour. a) Write an equation to epress how much Plutonium will remain after N hours. b) How man grams would be left after hours? c) How long will it take for there to be onl 50 grams of Plutonium? A long, long, time ago, in a gala far, far, awa, a scientist came across some radioactive material. After further investigation, said scientist realized that this radioactive material was Krptonite. Krptonite decas at a rate of % an hour. The scientist wants to know how long it would take for the 00 grams Krptonite to disappear. a) Write an equation to epress how much Krptonite would be left after N hours. b) How man grams would be left after hours? c) If it is determined that it would take over 7 grams of Krptonite to cause Superman s death, how long would it take before he could pla with the Krptonite without ding? ) At the birth of her son, Mrs. Hoffman invested $0,000 into a bank account. This bank account has an annual interest rate of % (APR), and is compounded monthl. a) Write an equation to epress how much mone will be in the account after n ears.. b) How much will be in her son s account after ears? c) How long would it take for the account to hit $5,000 5) At the birth of her second son, Mrs. Hoffman invested $7,000 into a bank account. This bank account has an annual interest rate of.5%, and is compounded continuousl. a) Write an equation to epress how much mone will be in the account after n ears. b) How much will be in her son s account after ears? b) How long will it take for the account to hit $,000? ) In the small cit of Allentown, there are approimatel,000,000 people. This is such a cool cit, that man people are moving there. The population is growing at a rate of % a ear. a) Write an equation epressing the population of Allentown in N ears. b) How man people will be living in Allentown in ears? c) How long would it take for Allentown to reach,500,000 people? 7) The mold in Ms. Gulamali s classroom is growing at a rate of.05% per week. There is currentl 0 milligrams of mold in the classroom. a) Write an equation to show the amount of mold in N weeks. b) How much mold will be in Ms. Gulamali s room in 0 weeks? c) How long would it take for there to be milligrams of mold? ) A radioactive isotope is decaing at a rate of 9% ever hour. Currentl there are 500 grams of the substance. a) Write an equation that will represent the number of grams after n hours. b) Find the number of grams after da. c) When will ou have 0 grams left?