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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
to understand logarithms a good knowledge of indices is required. We know that 16 = 24 Here, the number 4 is the power. Sometimes we call it an exponent. Sometimes we call it an index. In the expression 24, the number 2 is called the base. Example We know that 64 = 82. In this example 2 is the power, or exponent, or index. The number 8 is the ...
16. A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes. (a) Find a formula for the number of bacteria at time t. (b) Find the number of bacteria after one hour. (c) After how many minutes will there be 50 000 bacteria?
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 document contains 27 multiple choice questions about logarithms. The questions cover topics like simplifying logarithmic expressions, solving logarithmic equations, and modeling exponential growth. Each question is labeled with one, two or three asterisks indicating basic, intermediate or challenging level.
Maths Learning Service: Revision Logarithms Mathematics IMA You are already familiar with some uses of powers or indices. For example: 104 = 10×10×10×10 = 10,000 23 = 2×2×2 = 8 3−2 = 1 32 = 1 9 Logarithms pose a related question. The statement log 10 100 asks “what power of 10 gives us 100?” The answer is clearly 2, so we would write ...
Collection of logarithms exam questions for practice and revision.
