Definition of Indices :
The product of m factors each equal to a is represented by am . So, aᵐ = a · a · a ........ a ( m times).
Here a is called the base and m is the index (or power or exponent).
Law of Indices :
LOGARITHM
The logarithm of the number N to the base ' a ' is the exponent indicating the power to which the base ' a ' must be raised to obtain the number N. This number is designated as
PROPERTIES
Some Important points.
Systems of Logarithm :
There are two systems of logarithm which are generally used.
(i) Common logarithm : In this system base is always taken as 10.
(ii) Natural logarithm : In this system the base of the logarithm is taken as ‘e’. Where ‘e’ is an irrational
number lying between 2 and 3.( The approximate value of e upto two decimal places is e = 2.73)
PROBLEMS FROM IOQM DIGITAL CAMP 2021-22
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