
Can I take $\log$ on both sides of inequality such way?
Semantic nitpicking, but "add log" is not the best way to put it. "Add" generally refers to te operation of addition, and what you have here is more commonly referred to as "taking logs".
discrete mathematics - How to prove if log is rational/irrational ...
It looks as if they may be talking about proving certain values of logarithm functions are irrational, but I'm not sure what it would mean to say that the log function itself is irrational.
How did the notation "ln" for "log base e" become so pervasive?
As noted in the original question, Wikipedia claims that the ln notation was invented by Stringham in 1893. I have seen this claim in other places as well. However, I recently came across an earlier …
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...
How do I find the base when Log is given - Mathematics Stack Exchange
I'm trying to figure out how to calculate the base if: $$ \\log_b 30 = 0.30290 $$ How do I find $b$ ? I've slaved over the Wikipedia page for logarithms, but I just ...
Dividing logs with same base - Mathematics Stack Exchange
Correct answer Each log can be rewritten to be $\frac {3\log5} {2\log5} = 1.5$ therefore $\frac {3} {2} = 1.5$ I'm unsure why this is correct over the previous method. My question What was wrong with …
logarithms - Is there an approximation to the natural log function at ...
Another popular method for computing logarithms was to compute the exponential function (inverse of the desired logarithm function) of an initial guess. Exponential function is a rapidly converging power …
Calculate logarithms by hand - Mathematics Stack Exchange
I'm thinking of making a table of logarithms ranging from 100-999 with 5 significant digits. By pen and paper that is. I'm doing this old school. What first came to mind was to use $\\log(ab) = \\lo...
logarithms - Approximating Logs and Antilogs by hand - Mathematics ...
I have read through questions like Calculate logarithms by hand and and a section of the Feynman Lecture series which talks about calculation of logarithms. I have recognized neither of them useful...
Proof of 2 Matrix identities (Traces, Logs, Determinants)
Actually there is a question of which branches of the logarithm to use when there are non-positive eigenvalues, so it is more accurate to say that $\text {Tr} (\log (X))$ is one of the branches of $\log …