LOGARITHMS


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LOGARITHMS
    John Napier, a Scotish Mathematician invented logarithms in 1614.
    Logarithm is derived from word ‘logos’ meaning ratio and ‘arithmos’ meaning number.
     Henry Briggs introduced common logarithms in 1624.
Definition – For each positive real number a, a≠1, the unique real number ‘m’ is called the logarithm of ‘b’ to the base ‘a’.
Mathematically, loga b = m, iff am = b. e.g. 93 = 729 where a = 9, m = 3 and b = 729, then log9 729 = 3

NATURAL LOGARITHM AND COMMON LOGARITHM

Natural Logarithm – log to the base ‘e’ (e = 2.71828 approx.)
Common Logarithm – log to the base 10

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