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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..
Calculation Problems Name: _____ 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. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information
Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010
Logarithms - Past Edexcel Exam Questions. 1. (Question 7 - C2 May 2018) (i) Find the value of y for which. 1:01y 1 = 500: Give your answer to 2 decimal places. (ii) Given that. 2 log 4(3x + 5) = log 4(3x 3 + 8) + 1; x > 5. (a) show that.
ogarithmic Equations EFMany mathematical models of real-life situations use ex. onentials and logarithms. It is important to become familiar with using the laws of logarithm. EXAMPLES. Solve log a 13 + log a x = log 273 for a x > 0 . log a 13 + log a x = log a 273 log a 13 x = log a 273. a x =. = 21.
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.