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5^x-4^x-3^x-2^x=25 equation

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Numerical solution:

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The solution

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 x    x    x    x     
5  - 4  - 3  - 2  = 25
$$- 2^{x} + \left(- 3^{x} + \left(- 4^{x} + 5^{x}\right)\right) = 25$$
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Numerical answer [src]
x1 = 2.9868730810503
x1 = 2.9868730810503