Somehow i never really thought about what happens when you have a complex number in the power and now it seems like such an obvious question to have. It was also facinating to see the power definition in general. Since it is not something you learn about in school, even though we use powers all the time.
![Complex Analysis 25 | Cauchy's Theorem (general version) [dark version]](http://i.ytimg.com/vi/iXOFqNsETzI/mqdefault.jpg)
These videos shine a bright light on mathematics!
I was literally just wondering about this last week! Awesome video, thank you
Glad you liked it!
I’m glad you used log instead of ln.
I like the explanations that are given. The only thing missing are some concrete examples to make it more easily understood.
Somehow i never really thought about what happens when you have a complex number in the power and now it seems like such an obvious question to have.
It was also facinating to see the power definition in general.
Since it is not something you learn about in school, even though we use powers all the time.
the power of christ compels you!
the logarithm should be in the base of 'e', in other words 'ln'. Is that right?
Yes, here, log means always with respect to the natural base e.
@@brightsideofmaths so you have to do log₁₀(x) for the base-ten logarithm?
@@yoylecake313yes
People should be using the *exp* symbol more.
Agree