**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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logarithm 11th standard