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•solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second law of logarithms log a xm = mlog a x 5 7. The third law of logarithms log a x y ...
There are a number of rules known as the laws of logarithms. These allow expressions involving logarithms to be rewritten in a variety of different ways. The laws apply to logarithms of any base but the same base must be used throughout a calculation. This law tells us how to add two logarithms together.
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
The first set of worksheets (as illustrated in the first few pages) focuses on evaluating basic base-10 logarithms. These problems are designed to build a strong foundation by encouraging students to calculate common logarithms such as log 10 10, log 10 1, log 10 100 and more.
Expand the following logarithms. Use either the power rule, product rule or quotient rule. Expand the following logarithms using one or more of the logarithm rules. Sometimes you need to write an expression as a single logarithm. Use the rules to work backwards. log3x2 + log3y . Use the Product Rule for Logarithms.
Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Exponentials and Logarithms
This is a 5 part worksheet: Part I Model Problems (with answers explained) Part II Practice Expanding Logarithms; Part III Rewrite Expression as 1 Term; Part IV Extension Problems; Part V Answer Key
