# Simplifying a Tricky Equation

• I
• thatboi

#### thatboi

Hey all,
I am currently trying to solve the following equation for C: where C is a purely imaginary value, ##F_{+}##, ##F_{-}## and ##G_{+}## and ##G_{-}## are all complex valued constants (so ##G_{+}^{*}## just means complex conjugate of ##G_{+}##. I am not really sure where to start with isolating C, any advice would be greatly appreciated!

Take logarithms of both sides and see if you can solve that equation for C.

• Delta2 and malawi_glenn
Let ##F_+ /F_- = A## and ##\sqrt{ \dfrac{G_-G_+^*}{G_-^*G_+} } = B##

Your equation is ##A^{-C/2} = (-1)^{1-C}B ##

Always do simplifications and change of variables, to see what is going on.

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• @thatboi , with the two hints given to you above, it is fairly easy to solve for C. Is that working out for you?

• malawi_glenn
phyzguy said:
@thatboi , with the two hints given to you above, it is fairly easy to solve for C. Is that working out for you?
Thanks for the hints I have already worked it out!

• malawi_glenn
Great!

May I ask where this equation came from?