Page 27 - INDICES AND LOGARITHMS

LAWS OF LOGARITHMS

DEFINITION OF LOGARITHM

Logarithm are the “opposite” of exponentials, just

as subtraction is the opposite of addition and

division of multiplication. Logs “undo” exponentials.

Technically speaking, logs are the inverses of

exponentials.

For example

The number 9 can be expressed in the form 9 = 3 ,
2
where 3 is the base and the 2 is the exponent.

We may also express 9 = 3 2 by using logarithm
notation as:

9 = 2
3

Where the number 3 is called the base of

logoratihm we read 9 = 2 as logarithm of 9 to
3
the base 3 is 2.

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