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log10(x(x-3))+log10x-3/4x=0 equation

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Numerical solution:

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The solution

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log(x*(x - 3))               3*x    
-------------- + log(10*x) - --- = 0
   log(10)                    4     
$$- \frac{3 x}{4} + \left(\log{\left(10 x \right)} + \frac{\log{\left(x \left(x - 3\right) \right)}}{\log{\left(10 \right)}}\right) = 0$$
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Numerical answer [src]
x1 = 7.967066483242
x1 = 7.967066483242