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Section: Mathematical Functions
Computes the log
function for its argument. The general syntax for its use is
y = log(x)
where x
is an n
-dimensional array of numerical type. Integer types are promoted to the double
type prior to calculation of the log
function. Output y
is of the same size as the input x
. For strictly positive, real inputs, the output type is the same as the input. For negative and complex arguments, the output is complex.
Mathematically, the log
function is defined for all real valued arguments x
by the integral
For complex-valued arguments, z
, the complex logarithm is defined as
where arg
is the complex argument of z
.
The following piece of code plots the real-valued log
function over the interval [1,100]
:
--> x = linspace(1,100); --> plot(x,log(x)) --> xlabel('x'); --> ylabel('log(x)');