Re: Useful logarithm facts

It is because of Euler's Identities...

cos(x) = [e^(jx)+e^(-jx) ]/2
sin(x) = [e^(jx)-e^(-jx) ]/ (2j)

cos(x) + jsin(x) = [e^(jx)+e^(-jx) ]/2 + [e^(jx)-e^(-jx) ]/2
= e^(jx)

if x = pi

-1 = e^(pi*j)

if (y < 0)

loga( -1*(-y)) = loga(-y) + loga(-1)
= loga(-y) + loga(e^(pi*j))

Well, yeh. But you have to admit, it is less confusing than using i.