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In mathematics ,  an algorithm is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning. 
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And lagorithm is The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number.
Lograthim means what power on 2 to get 8        =log8 base2
it simply means what power should we apply to the base no so that we may get the no
there are some formulas also to keep in mind while solving log problems for that consult m.l khanna  iit mathematics
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