 1. INTRODUCTION
2. OUTLINE OF AIMS AND OBJECTIVES OF EACH SESSION
3. BASIC MATHS SELF-ASSESSMENT EXERCISE
4. BASIC MATHS COURSE ENROLEMENT FORM (Please attempt the self-assessment exercises first to help you to decide if you need to enrol for the support sessions)

## Session 4: Logarithms

Note that the worked solutions to questions 3), 4), 6), 7) and 10) offer some guidance on using the CASIO fx-85GT calculator for logarithms and inverse logarithms.    1

Select the correct answer from the multiple choice options given below.

 a) complications b) roots c) powers d) bases Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved.   2

Is the statement above true or false?

 a) True b) False Yes - well done!No - this is incorrect. The reasoning behind the answer is as follows in the link below:Your answer has been saved.  3

Select the correct answer from the multiple choice options given below.

 a) log 2 = 10 b) log 10 = 2 c) log 2 = 100 d) log 100 = 2 Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved. Click here for the calculation / worked solution and guidance on calculator use. 4

Select the correct answer from the multiple choice options given below.

 a) ln 20.086 = 3 b) ln 3 = 20.086 c) ln e = 3 d) ln e = 20.086 Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved. Click here for the calculation / worked solution and guidance on calculator use.  5

Is the statement above true or false?

 a) True b) False Yes - well done!No - this is incorrect. The reasoning behind the answer is as follows in the link below:Your answer has been saved.    6

Select the correct answer from the multiple choice options given below.

 a) log 5 b) log 4 c) log 18 d) log 12 Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved. Click here for the calculation / worked solution and guidance on calculator use.    7

Select the correct answer from the multiple choice options given below.

 a) log (9 x 7) = 1.80 b) log 97 = 1.99 c) 9 x log 7 = 7.61 d) 7 x log 9 = 6.68 Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved. Click here for the calculation / worked solution and guidance on calculator use. 8

Is the statement above true or false?

 a) True b) False Yes - well done!No - this is incorrect. The reasoning behind the answer is as follows in the link below:Your answer has been saved.      9

Select the correct answer from the multiple choice options given below.

 a) log y = 5 log x + log 4 , [gradient is 5 intercept is log 4] b) log y = 4 log x + log 5 , [gradient is 4 and intercept is log 5] c) log y = 4 log (5x) , [gradient is 4 intercept is 0] d) log y = 5 log (4x) , [gradient is 5 intercept is 0] Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved.     10

Select the correct answer from the multiple choice options given below.

 a) 2040 b) 1974 c) 2010 d) 1986 Yes - well done!No - this is incorrect. The answer should be as follows in the link below:Your answer has been saved. Click here for the calculation / worked solution and guidance on calculator use.

If you are finding these questions difficult and do not understand how the solutions were obtained please work through these PowerPoint slides with notes pages (select the 'slideshow' option to view the animation):

Session 4 slides