I know that log of negative number does not exist on the real axis. But what about the complex number. Can we figure out the log value of a negative number in terms of a complex number?

No vote yet

2 votes

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestComplex numbers are really vast. They pop up in logs of negative numbers and also in stuff like arcsin(2)(REALLY!). – Nishant Rai · 4 years, 1 month ago

Log in to reply

ln(-1)=(i)(pi) So from there you can use basic log properties to determine the value of other negative logs. For example ln(-15)=ln((15)(-1))=ln(15)+ln(-1)=ln(15)+(i)(pi) If you had a different base just use change of base to get it into natural logarithm form, I think. I'm not too sure where log properties stop working. – Grant Elliot · 4 years, 1 month ago

Log in to reply