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(1)/(2^(sqrt(x-1)))*(1)/(0.5^(sqrt(x+1)))=(sqrt(x))/(4^(x+sqrt(x))) equation

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Numerical solution:

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                             ___   
          1                \/ x    
---------------------- = ----------
   _______     _______          ___
 \/ x - 1   -\/ x + 1     x + \/ x 
2         *2             4         
$$\frac{1}{\left(\frac{1}{2}\right)^{\sqrt{x + 1}} \cdot 2^{\sqrt{x - 1}}} = \frac{\sqrt{x}}{4^{\sqrt{x} + x}}$$
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Numerical answer [src]
x1 = -0.630271313595041 + 0.506936228018635*i
x1 = -0.630271313595041 + 0.506936228018635*i