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1. www.mathcentre.ac.uk › resources › uploadedLogarithms - mathcentre.ac.uk

   www.mathcentre.ac.uk › resources › uploaded

   explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms. Contents. Introduction. Why do we study logarithms ? What is a logarithm ? if x = an then loga x = n. 4. Exercises. 5. The first law of logarithms. loga xy = loga x + loga y. 6. The second law of logarithms.

2. www.ibmathematics.org › wp-content › uploadsIntro to logarithms

   www.ibmathematics.org › wp-content › uploads

   We have the following de nition of logarithms: De nition For a > 0, a 6= 1 and b > 0 we have: log a b = c ,ac = b What does it mean? First of all the assumptions (restrictions) are important. The number a, called the base of the logarithm, has to be greater than 0 and cannot be equal to 1. The number b (which we take the logarithm of) has to be ...

3. www.mathcentre.ac.uk › resources › Algebra leafletsWhat is a logarithm - mathcentre.ac.uk

   www.mathcentre.ac.uk › resources › Algebra leaflets

   Study the statement. 100 = 102. In this statement we say that 10 is the base and 2 is the power or index. Logarithms provide an alternative way of writing a statement such as this. We rewrite it as. log10 100 = 2. This is read as ‘log to the base 10 of 100 is 2’. These alternative forms are shown in Figure 1. index or power. 100 = 102 log 100.

4. www.mathlogarithms.com › images › ExplainingLogarithmsExplaining Logarithms

   www.mathlogarithms.com › images › ExplainingLogarithms

   logs.” “The log of a quotient is the difference of the logs.” The students see the rules with little development of ideas behind them or history of how they were used in conjunction with log tables (or slide rules which are mechanized log tables) to do almost all of the world’s scientific and

5. mathcs.pugetsound.edu › ~aasmith › logarithmsUnderstanding Logarithms Intuitively - University of Puget Sound

   mathcs.pugetsound.edu › ~aasmith › logarithms

   A logarithm represents the scale of a number. Think of all the one-digit numbers, 1 through 9. (For now we're skipping over 0.) Of course these numbers are all di erent, but they're close enough to each other to be easily comparable. However the two-digit numbers, 10 through 99, are on a totally di erent scale. They're easily comparable to each.

6. www.ibmathematics.org › wp-content › uploads2D Introduction to logarithms - ibmathematics.org

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   2D Introduction to logarithms. In this section we shall look at an operation which reverses the ef ect of exponentiating (raising to a power) and allows us to fi nd an unknown power. If you are asked to solve. x2 3 f x ≥ 0.

7. www.madasmaths.com › maths_booklets › basic_topicslogarithms practice - MadAsMaths

   www.madasmaths.com › maths_booklets › basic_topics

   LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.