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 …

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?

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} …

Aug 23, 2023 · Often, when I encounter big-O notation during computations, the basis of the logarithm is omitted. Is there an error, or is it in some sense irrelevant? Or am I missing something? For instance, …

Apr 8, 2012 · Okay, I understand that it cannot be explained to a 5 year old. But how do you explain the logarithm to primary school students?

Jul 4, 2023 · How to convert the base $10$ logarithm to base $2$? The question didn't provide the value of the logarithm. The question is: "Given a logarithm in base 10, how can you use the change …

Feb 25, 2014 · Why must the base of a logarithm be a positive real number not equal to 1? Ask Question Asked 12 years ago Modified 6 years, 3 months ago

Oct 5, 2019 · The discrete logarithm tag relates to a problem of solving equations modulo an integer, not to computing the natural logarithm.

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

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...