CBSE Class 11 Maths Notes: Number Systems – Logarithmic Function, Graph and Properties

LOGARITHMIC FUNCTION

The logarithm of a given number b to the base ‘a’ is the exponent indicating the power to which the base ‘a’ must be raised to obtain the number b. This number is designated as log _a b. Hence log _a b = x Û a^x = b, a > 0, a1 and b>0. From the definition of the logarithm of the number b to the base ‘a’, we have an identity

This is known as Fundamental Logarithmic Identity.

GRAPH OF LOGRITHMIC FUNCTION

PROPERTIES OF LOGARITHMIC FUNCTION

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