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logx^2(7-x)=5 equation

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Numerical solution:

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The solution

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   2               
log (x)*(7 - x) = 5
$$\left(7 - x\right) \log{\left(x \right)}^{2} = 5$$
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Numerical answer [src]
x1 = 3.10494245363554
x2 = 5.1297143516678
x2 = 5.1297143516678