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- Natural log of a negative number - Mathematics Stack Exchange
My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative number?
- What algorithm is used by computers to calculate logarithms?
I would like to know how logarithms are calculated by computers The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated directl
- Approximation of binary logarithm using Taylor series
Your Taylor series is for the natural logarithm For the binary logarithm, you have to divide by the natural logarithm of $2$
- How do I square a logarithm? - Mathematics Stack Exchange
How do I square a logarithm? Ask Question Asked 10 years, 10 months ago Modified 2 years, 8 months ago
- What is the point of logarithms? How are they used?
Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take for a population to double or for a bank balance to reach a given value with compound interest) Historically, they were also useful because of the fact that the logarithm of a product is the sum of the
- How to solve equations when logarithm is the exponent?
Here is an example problem where the logarithm is expressed as an exponent Please help me understand this concept its not properly covered in my textbook $$ 3^{\\log_3 (2k)} = 9 $$
- What is discrete logarithm? - Mathematics Stack Exchange
The discrete Logarithm is just reversing this question, just like we did with real numbers - but this time, with objects that aren't necessarily numbers For example, if $ {a\cdot a = a^2 = b}$, then we can say for example $ {\log_ {a} (b)=2}$
- Units of a log of a physical quantity - Mathematics Stack Exchange
What happens to the units of a physical quantity after I take its (natural) logarithm Suppose I am working with some measured data and the units are Volts Then I want to plot the time series on a log-scale, only the ordinate is on the log scale, not the abscissa
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