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Full Discussion: Binary logarithm
Top Forums Shell Programming and Scripting Binary logarithm Post 302268944 by vgersh99 on Tuesday 16th of December 2008 02:59:56 PM
Old 12-16-2008
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An easy way to calculate the log2(n) on calculatorCalculator

A calculator is a device for performing calculations....
s that do not have a log2-function is to use the natural logarithmNatural logarithm

The natural logarithm, formerly known as the hyperbolic logarithm, is the logarithm to the base e, where e is equal ...
 "ln" or the common logarithmCommon logarithm

In mathematics, the common logarithm is the logarithm with base 10....
 "log" functions, which are found on most "scientific calculators". The formulaeLogarithm

The logarithm is the mathematical operation that is the inverse of exponentiation ....
 for this are:

    log2(n) = ln(n)/ln(2) = log(n)/log(2)


so

    log2(n) = loge(n)×1.442695... = log10(n)×3.321928...

 

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LOG(3)							   BSD Library Functions Manual 						    LOG(3)

NAME
log, logf, logl, log10, log10f, log10l, log2, log2f, log2l, log1p, log1pf, log1pl -- logarithm functions LIBRARY
Math Library (libm, -lm) SYNOPSIS
#include <math.h> double log(double x); float logf(float x); long double logl(long double x); double log10(double x); float log10f(float x); long double log10l(long double x); double log2(double x); float log2f(float x); long double log2l(long double x); double log1p(double x); float log1pf(float x); long double log1pl(long double x); DESCRIPTION
The log(), logf(), and logl() functions compute the natural logarithm of x. The log10(), log10f(), and log10l() functions compute the logarithm base 10 of x, while log2(), log2f(), and log2l() compute the logarithm base 2 of x. The log1p(), log1pf(), and log1pl() functions compute the natural logarithm of 1 + x. Computing the natural logarithm as log1p(x) is more accurate than computing it as log(1 + x) when x is close to zero. RETURN VALUES
These functions return the requested logarithm; the logarithm of 1 is +0. An attempt to take the logarithm of +-0 results in a divide-by- zero exception, and -infinity is returned. Otherwise, attempting to take the logarithm of a negative number results in an invalid exception and a return value of NaN. SEE ALSO
exp(3), ilogb(3), math(3), pow(3) STANDARDS
The log(), logf(), logl(), log10(), log10f(), log10l(), log2(), log2f(), log2l(), log1p(), log1pf(), and log1pl() functions conform to ISO/IEC 9899:1999 (``ISO C99''). BSD
June 3, 2013 BSD
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