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Homework Statement
I got down to here...
x = i ln( 5/(4i + 3) ) + 2 pi n
n set of integers positive and negative
ok I was wondering if I could simplify this some more... i.e. I checked my answer in my calculator it was right just wondering that maybe...
x = i ln( i^((-i 2 ln 5)/pi) / ( i^((-i 2 ln 4)/pi + 1) + i ^((-i 2 ln 3)/pi) ) )+ 2 pi n
my gut tells me that it can be simplified some way or another if you turn all of the real numbers into complex numbers like with all numbers with the same base... but I can't seem to simplify... it's really bothering me as my gut tells me that there is a way as any fraction for the most part that have the same base with different exponents can be simplified...
like if the equation was
5^6/(5^2 + 5^8)
could be simplifed so... I feel dumb I can't simplify this one further =(
Homework Equations
The Attempt at a Solution
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