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AS/A Level Mathematics Exponentials and Logarithms Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name. • Answer all questions and ensure that your answers to parts of questions are clearly labelled..
Maths Genie is a free GCSE and A Level revision site. It has past papers, mark schemes and model answers to GCSE and A Level exam questions.
Calculation Problems. Instructions. • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided. – there may be more space than you need. rately drawn, unless otherwise indicate. • You must show all your working out. Information. • The marks for each question are shown in brackets.
Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 24 log 32 2− b) log 96 3log 2 log 43 3 3− − c) 5 5 5 1 2 log 500 log log 10 5 + − d) 2log 54 log 0.25 4log 23 3 3− − e) 8log 2 log 4 3log 96 6 6− −( ) 3 , 1 , 3 , 6 , 6
Introduction. In this unit we are going to be looking at logarithms. However, before we can deal with logarithms we need to revise indices. This is because logarithms and indices are closely related, and in order to understand logarithms a good knowledge of indices is required.
value is to be calculated, then we must take logs on both sides of the equation to allow it to be solved. The same solution will be reached using any base, but calculators can be used for evaluating logs to the base e and 10. EXAMPLES 5. Solve e x =7. Taking log e of both sides: OR Taking log 10 of both sides: = == = =
Khan Academy Logarithms Section and Exponential Models. Student Activities on Introducing Logarithms – Project Maths. 14A Drawing Exponential Graphs. Textbook resources. Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. Download Blank Notes. Word doc. PDF. Download Slides.
