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Question 1 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
After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
Having previously defined what a logarithm is (see the notes on Functions and Graphs) we now look in more detail at the properties of these functions. The relationship between logarithms and exponentials is expressed as:
This document contains 27 multiple choice questions about logarithms. The questions cover topics like simplifying logarithmic expressions, solving logarithmic equations, and modeling exponential growth.
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.
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a)e 164x=. b)2e 1 1273y− =. c)3e 5 142. z. d)4. 24 1 25e 25 − =−w.
