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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. 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.
Maths revision video and notes on the topic of the exponential function (e), the natural log (ln) and solving problems involving exponential growth and decay.
Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 4 log 0.52 2− b) log 10 log 52 2− c) 2log 4 log 82 2+ d) 2log 5 2log 0.2520 20− e) 3log 8 3log 324 24+ 3 , 1 , 7 , 2 , 3
Logarithms. mc-TY-logarithms-2009-1. Logarithms appear in all sorts of calculations in engineering and science, business and economics. Before the days of calculators they were used to assist in the process of multiplication by replacing the operation of multiplication by addition.
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. 9x2 + 18x. 7 = 0: (b) Hence solve the equation.
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
