Page 28 - INDICES AND LOGARITHMS

In general, if a and x are positive real numbers

and m any real number such that x= , then the

logarithm of x to the base a is n

= log =

For example

= log =

1 = 0 log 1 = 0

= 1 log = 1

Note :

(i) the logarithm of 1 with any positive real

number as base is always zero.

(ii) the logarithm of any positive real number with
the same positive real number as the base is

always 1.

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