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Secondary 3 Express Additional Mathematics E-Learning 2008 Logarithms Instructions to Students: (1)You are to go to the website provided on the next slide to study the topic on Logarithms. Please click on the following link to get to the required website and if the link does not work, please type in the URL on your own web browser. http://tutorial.math.lamar.edu/Classes/Alg/LogFunctions.aspx Instructions to Students: (2) Now that you have finished going through the notes on the website, you are to complete the following questions provided in the subsequent slides. Instructions to Students: (3) All solutions are to be written on foolscap paper and to be submitted to your respective AMaths teachers on 4th Feb 2008 (Mon). Practice Questions: Convert the following to logarithmic form: 3 3 (2) (1) (3) 2 8 5 2 32 5 125 (4) 3 2 1 9 Convert the following to index form: (5) 4 log 2 16 (6) 1 log 3 3 2 Practice Questions: Evaluate each of the following logarithms: (7) log 3 81 1 (9) log 4 16 (8) log 2 2 (10) 1 log 3 27 Practice Questions: Simplify each of the following logarithms: 2 3 (12) (11) 2 3 log x y x log 4 2 y 3 (13) log ( xy) 4 ( x y) (14) log 5 ( 2 y x) 2 Practice Questions: Express each of the following as a single logarithm: 2 log 3 x 5 log 3 y (16) 3 log 5 x 2 2 log 5 y 1 2 (17) (18) ln x 3 ln y 2 ln x 4 ln y 3 ln z 2 (15) (19) 4 ln( x y ) 2 ln( y x) (20) 5 ln( 2 x) 3 ln( zy ) 2 ln( 4 y ) The End