|
- Natural log of a negative number - Mathematics Stack Exchange
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?
- Why are logarithms not defined for 0 and negatives?
I can raise 0 0 to the power of one, and I would get 0 0 Also −1 1 to the power of 3 3 would give me −1 1 I think only some logarithms (e g log to the base 10 10) aren't defined for 0 0 and negative numbers, is that right? I'm confused because on all the websites I've seen they say "logs are not defined for 0 0 and negative number" On one website it says " logb(0) log b (0) is not
- What is the point of logarithms? How are they used?
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 population to double or for a bank balance to reach a given value with compound interest) Historically, they were also useful because of the fact that the logarithm of a product is the sum of the
- How is $\\ln$ pronounced by English speakers?
Here I was exposed to so many variations: Saying the two letters l n Saying "log" "logarithm" Saying "natural log" Saying "log e" All of the above were native-English speakers from different parts of the world No one pronounced it like we Israelis do, as "lan" As for your "linn", I believe it was a New Zealander Their e's sound like i's
- 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
- 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
- Can you prove that the logarithm is concave using the fact that
I am trying to prove that the natural logarithm is concave by using the fact that for x> 0, log(x) ≤ x − 1 x> 0, log (x) ≤ x 1 But I’m not sure if this is possible now
|
|
|