May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 11 months ago Modified 2 years, 8 months ago

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 …

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} …

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?

Aug 15, 2015 · The logarithm is an isomorphism between the vector space of positive-real numbers to the vector space of real numbers. And as every isomorphism is a linear function, so is the logarithm.

Feb 25, 2014 · We leave the logarithm undefined in that case, as you said in your original question: the logarithm is only defined for a positive base. We could say that $\log_ {-1} 1 $ is 0 and 2, and 4, and …

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

Oct 20, 2021 · I found the following rule while reviewing logarithms: "Raising the logarithm of a number by its base equals the number.", i.e., $$ b^ {\log_b (k)} =k.$$ Why is this true?

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, …

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...