Jan 10, 2021 · 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?

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...

Jan 9, 2017 · The point is: the complex logarithm is not a function, but what we call a multivalued function. To turn it into a proper function, we must restrict what $\theta$ is allowed to be, for example …

May 26, 2025 · Your Taylor series is for the natural logarithm. For the binary logarithm, you have to divide by the natural logarithm of $2$.

Sep 27, 2021 · So in most applications, we refuse to use negative bases. HOWEVER, just because the concept of "logarithm" isn't a function on the complex plane, does not mean that we can't USE …

May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 10 months ago Modified 2 years, 7 months ago

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. $$ 3^{\\log_3 (2k)} = 9 $$

Jul 5, 2020 · 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}$, …

how to see the logarithm as the inverse function of the exponential? Ask Question Asked 11 years, 8 months ago Modified 9 years, 5 months ago

Oct 11, 2020 · Why does the inequality sign change when applying a logarithm on both sides, with the base less than $1$? I came across the following math which I solved if 2 ways, $$ \left (\frac {1} …