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((sqrt(17)-4)^sqrt(x+3))*((sqrt(17)+4)^x+1)>1 inequation

A inequation with variable

The solution

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              _______                        
            \/ x + 3  /            x    \    
/  ____    \          |/  ____    \     |    
\\/ 17  - 4/         *\\\/ 17  + 4/  + 1/ > 1
$$\left(-4 + \sqrt{17}\right)^{\sqrt{x + 3}} \left(\left(4 + \sqrt{17}\right)^{x} + 1\right) > 1$$
(-4 + sqrt(17))^(sqrt(x + 3))*((4 + sqrt(17))^x + 1) > 1
Solving inequality on a graph