Exponential/Logarithmic Functions
The Exponential function and Logarithmic function, with the base of
are related like this:
. (1)-
. (2) -
. (3) -
. (4)
Using the fact that
, (5)
. (6)
. (7)
Laws of Logarithms
-
. (8) -
. (9)
It can be easily derived that
(10)
If we replace the base
with e ≈ 2.71828…, then logarithm is commonly written as
The Laws of Logarithms can be rewritten:
-
(11) -
(12) -
. (13)
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