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Logarithms - Mathematics resources

Logarithmsmc-TY- Logarithms -2009-1 Logarithms appear in all sorts of calculations in engineering and science, business and the days of calculators they were used to assist in theprocess of multiplication by replacingthe operation of multiplication by addition. Similarly, they enabled the operation of division tobe replaced by subtraction. They remain important in other ways, one of which is that theyprovide the underlying theory of the logarithm function. This has applications in many fields, forexample, the decibel scale in order to master the techniques explained here it is vital that you do plenty of practice exercisesso that they become second reading this text and / or viewing the video tutorial onthis 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 do we study Logarithms ?

6. The second law of logarithms Suppose x = an, or equivalently log a x = n. Suppose we raise both sides of x = an to the power m: x m= (an) Using the rules of indices we can write this as xm = anm Thinking of the quantity xm as a single term, the logarithmic form is log

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