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Logarithm
From Wikipedia the frea encyclopedia
In mathematics the logarithm is the inverse operation to exponentiation That means the logarithm of
numberis the exponent to which another fixed value the base
must be raised to produce that number In
sirnple Cases the logarithm counts repeated multiplication Fot example the base 10 logarithm of 1000 is 3
log?
as 10 to the power 3 is 1000 (1000
10
10 = 103); the multiplication
repeated three times
More
generally exponentiation allows any positive real number to be raised to any rea
power, always producing
positive result 50 the logarithm car be calculated or any two positive rea
numbers
and T where bis not
equal to L The logarithm o
6, denoted logs(r) is the unique
number
such that
6′ =X
For examnple
64 = 26 We have
logz(64) = 6
The logarithm tO base 10 (that is b = 10) i5 called the common logarithm and has many applications in
The graph othe logarithm to base
CrOss=s
sclence and engineering
The natural logarithm has the rumber
(~2718) as its base
Its use
widlespread
axls (horl_ontal axls) at
and passes through
the points with coordinates (2
1 (4 2rand (8 3)
in mathematics and Physics because Otits simpler derivative The binary logarthm uses base
(that is 0 = )
For example; log_(e
because
The
and is commonly used in computer science;
graph geis arbitrarlly Close tO the
3xISbut does
base
real
흠. 어렵네요.







