What is log? what are its real life uses?Explain with more than one example.

Asked by Sushant Kumar | 3rd Oct, 2013, 07:56: PM

Expert Answer:

The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: 1000 = 10?×?10?×?10 = 103. More generally, if x = by, then y is the logarithm of x to base b, and is written y = logb(x), so log10(1000) = 3.
 
Logarithms are part of a number of formulae used in the Physical Sciences. There are formulae that deal with earthquakes, with sound, and pH-levels, to mention a few. To work out time periods of growth or decay, logs are used. You will study the use of logs in your higher studies.
 
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Answered by  | 3rd Oct, 2013, 10:20: PM

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