May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 11 months ago Modified 2 years, 9 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 …

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.

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} …

Feb 25, 2014 · Why must the base of a logarithm be a positive real number not equal to 1? Ask Question Asked 12 years, 1 month ago Modified 6 years, 4 months ago

Aug 10, 2020 · Until we make the generalization of exponents to arbitrary powers, there is no hope of describing the inverse logarithm as an exponential function. One "convenience" of the antilog …

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?

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 …

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, …