## Complex conjugate of absolute exponential

Hello all,

I am trying to figure out how to solve for the complex conjugate of the following: (-0.5)^abs(x)

-Brian
 Blog Entries: 8 Recognitions: Gold Member Science Advisor Staff Emeritus What is the definition of complex conjugation?? Try to apply that first on your expression.

 Quote by vg8open Hello all, I am trying to figure out how to solve for the complex conjugate of the following: (-0.5)^abs(x) Thanks for your help. -Brian
abs(x), usually denoted |x|, is a nonnegative real number whether x is real or complex.

So your expression is real. Which makes its conjugate very easy to compute!

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## Complex conjugate of absolute exponential

 Quote by SteveL27 abs(x), usually denoted |x|, is a nonnegative real number whether x is real or complex. So your expression is real. Which makes its conjugate very easy to compute!
Not necessarily. What if x=1/4?

 Quote by Char. Limit Not necessarily. What if x=1/4?
Oops missed the minus sign. Thanks.

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 Quote by vg8open Hello all, I am trying to figure out how to solve for the complex conjugate of the following: (-0.5)^abs(x) Thanks for your help. -Brian
It's a whole lot easier if you put it into complex exponential, or even better, cos + i sin notation.

 Quote by Char. Limit It's a whole lot easier if you put it into complex exponential, or even better, cos + i sin notation.
I think I missing something here... Are you talking about these equations?
$$a^b = e^{(\ln(r) + \phi i)b}$$ and $$e^{ix} = \cos(x) +i\sin(x)$$
 Recognitions: Gold Member Well, by complex exponential, I just mean putting it into r e^(i theta) for some theta and r. But the cos + i sin notation I was talking about, yeah, you got it.

 Tags complex conjugate, exponential