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I just fight few hours trying to implement some physics calculation.
Then, I discovered everything was wrong, just because Math.log is not about log10 but ln.
I would expect Math.ln() = ln and Math.log() = log10. But absolutly not Math.log() = ln !!!
Why did they make it so confusing ?
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The difference between log and ln is that log is defined for base 10 and ln is denoted for base e. For example, log of base 2 is represented as log2 and log of base e, i.e. loge = ln (natural log).
B. Natural Logarithms Have Simpler Derivatives Than Other Sys- tems of Logarithms. Another reason why logarithms to the base e can justly be called natural logarithms is that this system has the simplest derivative of all the systems of logarithms.
The logarithms and exponentials cancel each other out (equation (4)), giving our product rule for logarithms, ln(xy)=ln(x)+ln(y).
JavaScript Math log() The JavaScript Math. log() function returns the natural logarithm of a number. It returns the natural logarithm (base e) of a number. It is equivalent to ln(x) in mathematics.
Mathematicians commonly use logarithms with a base of e for convenience. They don't take into account the distinction between the natural log and the common log; they use a single logarithmic function log because in higher mathematics the use of Euler constant is very common.
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